What is the completely factored form of the expression 16x^4 -y^4 Describe the method(s) of factoring you used.

What Is The Completely Factored Form Of The Expression 16x^4 -y^4 Describe The Method(s) Of Factoring

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]16x^4 - y^4[/tex]

[tex](4y^2)^2 - (y^2)^2\\[/tex]

[tex]= ((2y)^2)^2 - ((y)^2)^2[/tex]

Answer 2

Answer:

[tex](2x -y)(2x+y)(4x^2+y^2)[/tex] via difference of squares

Step-by-step explanation:

[tex]16x^{4} - y^{4}[/tex]

• Rewrite [tex]16x^{4} - y^{4}[/tex] as [tex](4x^{2} )^{2} - (y^2 )^2[/tex].

The difference of squares can be factored using the rule:[tex]a^2 - b^2=(a - b)(a+b).[/tex]

[tex](4x^2 - y^2 )(4x^2+y^2 )[/tex]

• Consider [tex]4x^2 - y^2[/tex]. Rewrite [tex]4x^2 - y^2[/tex]  as [tex](2x)^2 - y^2[/tex].

The difference of squares can be factored using the rule: [tex]a^2 - b^2=(a - b)(a+b).[/tex]

[tex](2x -y)(2x+y)[/tex]

• Rewrite the complete factored expression.

[tex](2x - y)(2x+y)(4x^2+y^2 )[/tex]


Related Questions

The figure formed by (−3, 2), (−4, 1), and (−1, −5) is translated 3 units right and 5 units up. What are the coordinates of the new figure?
(0, 7), (−7, −4), (2, −10)
(−6, −3), (−7, −4), (−4, −10)
(0, 7), (−1, 6), (2, 0)
(−6, −3), (−1, 6), (−4, 0)

Answers

Translating the figure involves chaging the position of the figure

The coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)

The coordinates of the new figure

The coordinates are given as:

(−3, 2), (−4, 1), and (−1, −5)

The rule of translation 3 units right and 5 units up is:

(x + 3, y + 5)

So, we have:

(−3 + 3, 2 + 5), (−4 + 3 , 1 + 5), and (−1 + 3, −5 + 5)

Evaluate the sum

(0, 7), (-1 , 6), and (2, 0)

Hence, the coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)

Which algebraic expression represents “the product of a number and five”?
Group of answer choices
5 + n
5n
n - 5
5/n
Thanks!

Answers

Answer:

Step-by-step explanation:

Multiplication is the process of determining the product of two or more numbers in mathematics.

The correct answer is option 2 which is the product of a number and five.

Product =  5 n

It means that n is five times.

13 multiplied by x = 52 what is x?

Answers

Answer:

Step-by-step explanation:

To find the value of x, we need to divide 52 by 13.

13 multiplied by x = 52

x = 52 / 13

x = 4

So x is 4.

X= 4 because you divide 52 and 13

A store had 395 pillows in stock when the store received three shipments of 100 pillows each. How many pillows did the store have in stock after the shipments?

Answers

Answer:695 pillow

Step-by-step explanation:

You have 395 pillows, and then 3 shipments of 100 pillows come in. 3 shipments x 100 pillows = 300 pillows

395 pillow + the 300 new ones = 695 pillows.

Answer: 695

Step-by-step Explanation: They started with 395 then got three shipments that add up to 300 so 395 + 300 = 600

Can you solve this for me? Thanks! :>

Answers

It would be between 1/2 and 1

Can you solve this for me? Thanks! :>

Answers

Answer:

Coasting Along

Step-by-step explanation:

Convert each number into a percent if it isn't already

you get 40%, 60%, 35%, 62%

Then you choose the greatest one because it offers a greater price reduction

Hey.. I like rlly need help (middle school)

Answers

Answer: (2,-6)

Step-by-step explanation:

Answer: hope this helps ♡

The coordinates of S' are (2,-6).

Step-by-step explanation:

S = (6,2)

S rotated 90° = (-2,6)

S rotated 90° = (-6,-2)

S rotated 90° = (2,-6)

Can you solve this for me? Thanks! :>

Answers

Answer:

Hickory, Delway, Midway, Ridgecrest

Step-by-step explanation:

So this question deals with negative numbers, which are like positive numbers but ordered backwards.  (Example:  -3, -2, -1, 0, 1, 2, 3)  

In that case, the correct order would be -10, -8, -2, 3.  Also known as Hickory, Delway, Midway, Ridgecrest.  

I hope this helped!  :)

The depth y(in feet) of a river after x years is y=0.1x+10,can you graph the linear equation?

Answers

Answer:

Step-by-step explanation:

y=0.1x+10,

slope can be made into a fraction 1/10

slope :1/10

y intercept :=10

draw  the graph with the y intercept (0,10)

slope is defines as y movements/ x movements

move one up from (0,10)

and 10 to the right since it is positive making the next point you can plot (10,11)

you can check if this is correct by plugging x and y in

11=0.1(10)+10,

.1x10=1

11=1+10,

1+10 =11

11=11

do the same to the other side

move down 1 from (0,10) and move 10 to the left

next plot will be (-10,9)

you can check by pluging in x and y

9=0.1(-10)+10,

-10x.1=-1

9=-1+10,

-1+10=9

9=9

Now that you have the points you can draw the line and connect them

Hope this helps

9=9 there go your answer

A system of equations is shown in the box. What are the values of x and y that will make the system true?

Answers

Step-by-step explanation:

Ans:x=2 and y=5

this is called the elimination method in linear graphs and simultaneous linear equations.

1. multiply each equation by suitable number so that they have the same coefficient but in this case, the coefficient is the same

2. subtract/add from the equations

3.solve the new equation

4.substitute the value of x/y into any equation above and solve it

Part A: Which is the correct net for the prism? Explain your answer.

Part C: What is the surface area of the prism? Show your work.

Answers

part A: net a  

expatiation just fold it

part c: 63

12 + 36 + 15

Answer:

part A: net a  

part c: 63

12 + 36 + 15

Step-by-step explanation:

Describe and correct the error a student made in factoring 2x^2 + 1 1 x + 15.
(image)

Answers

      The student forgot to divide the factors, 5 and 6, by the "a" value. In this case, that is 2. Then, simplify the fractions. Once we have these values, the numerator is the constant value and the denominator is the coefficient.

             5/2 = 5/2 ➜ (2x + 5)

             6/2 = 3 ➜ (x + 3)

     This student should have factored the expression as;

                 (2x + 5)(x + 3)

Answer:

(2x + 5)(x+3) = 0

Step-by-step explanation:

ac = 5 * 6 = 30
b = 5 + 6 = 11
Factorizing 2x² + 11x + 15,
2x² + 6x + 5x + 15 = 0
2x(x + 3) + 5(x+3) = 0
(2x + 5)(x+3) = 0

∴ x = [tex]\frac{-5}{2}[/tex], -3

(There was a mistake probably because the quadratic equation was considered with 1 as the coefficient as x², so the factorized equation was for x² + 11x + 30. You must take the coefficient of x² as 2 instead, according to the given equation.)

The rectangular floor of a classroom is 30 feet in length and 35 feet in width. A scale drawing of the floor has a length of 6 inches. What is the perimeter, in inches, of the floor in the scale drawing? I will give brainliest if you get it right

Answers

Answer:

Step-by-step explanation:

6x2=12inches = 1feet

12x30=360inches=30 feet

12x35=420 inches = 35 feet

(2x360)+(2x420)=P

P = 1560inches

Answer: Im not sure if im correct but i tried my hardest

21.6 (6 is repeating)

Step-by-step explanation:

30 divided by 6 = 5

35 divided by 6 = 5.83 (3 is repeating)

5.83+5.83+5+5=21.6 (6 is repeating)

Suppose a pilot is flying a speed jet at an altitude of `30000` ft when she recognizes her jet is soon going to run out of fuel.



She requests an aerial refueling, and begins to descend at a constant rate of `100` vertical feet per minute so she can refuel at a safer altitude.

The refueling plane takes off from ground level at the same time as the speed jet begins descent, ascending at a speed of `400` vertical feet per minute.

The refueling plane begins refueling the speed jet when the two planes reach the same altitude, at which point the refueling plane will position itself below the speed jet and connect to the jet's fuel tank.

Write two equations in the form `y=mx+b` to represent the situation. Use the variables `x` and `y`.

Answers

Answer:

Step-by-step explanation:

Displacement = Average Velocity * time; I found time to be 2.22 seconds. (Displacement is the runway's length, 80 meters and the Average

Answer:

Step-by-step explanation:

Displacement = Average Velocity * time; I found time to be 2.22 seconds. (Displacement is the runway's length, 80 meters and the Average

To amend a​ country's constitution, 5 6
of the 87 states in that country must approve the amendment. If 75 states approve an​ amendment, will the constitution be​ amended?

Answers

Answer: yes

Step-by-step explanation:

5/6 would in percent 83.33%

75 of the 87 states would be 86.20%

so the constitution would be amended

Answer:

5/6 would in percent 83.33%

75 of the 87 states would be 86.20%

so constitution would be amended

Step-by-step explanation:

helpppppppppppppp pleaseee

Answers

3.14159this is pie followed
The is no length which type of question is it

Please help me I'm desperate

Answers

It’s 14!!

To find the Interquartile Range (IQR) you need to subtract points Q1 from Q3. The ends of the box are the Q1 and Q3 points.
Q3 = 80
Q1 = 66
80-66= 14
14, in order to find it you just have to count the space between

QUESTION:Suppose a cylinder has a diameter of 18 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet?

ANSWERS:

A V = π(18h)2V = π ( 18 h ) 2

B V = π(9)2hV = π ( 9 ) 2 h

C V = π(18)2hV = π ( 18 ) 2 h

D V = π(9h)2

Answers

Answer: B [tex]v=\pi 9^{2} h[/tex]

Step-by-step explanation:

to find volume use V=π r^2 h

if the diameter is 18 feet then the radius (r) will be half of that, 9 ft. So, to find the volume we'd just replace the r with 9 in the equation.

Answer:

B

Step-by-step explanation:

π(9)2hV = π ( 9 ) 2 h

A photographer is placing photos in a mat for a gallery show. Each mat she uses is x in. wide on each side. The total area of each photo and mat is shown.
a. Factor the total area to find possible dimensions of a photo and mat.
b. What are the dimensions of the photos in terms of x?
c. Explain why the photographer might use x to represent the width of the mat.
(image)

Answers

Answer:

(x + 8)(2x - 3)

Step-by-step explanation:

The first thing we need to do is REWRITE the middle term so that a x c = 2 x -24 = -48 AND the sum of b is 13. Please see below for the steps: 2x2 + 13x - 242x2 - 3x + 16x -24 x(2x - 3) + 8(2x - 3)  

Answer:

Step-by-step explanation:

(1) [tex]4x^2 + 36x + 80[/tex]

Let's factorise it:

[tex]4x^2[/tex] + 16x + 20x + 80

= 4x(x+4) +20(x+4)

= (4x+20)(x+4)

L of photograph = (4x+20)

B of photograph = (x+4)

Excluding the boundary/mat:

L = 4x + 20 - x = (3x + 20)

B = x - x + 4 = (4)

∴Hope this helped. Pls mark it as the BRAINLIEST!

Please Help!! How could you rewrite the mixed number so that its fractional part is less than 1? 1 = 17/12...PLEASE??

Answers

Answer: 2 5/12

Step-by-step explanation:

1 17/12

17 - 12 = 5

2 5/12

The correct answer will get brainliest

Let theta be an angle. Then there exist constants a and b such that:
cos(theta+60 degrees)=a sin(theta) + b cos(theta)
for all theta. Enter a, b in that order.

Answers

[tex]\cos(\theta+60^{\circ})=\cos \theta \cos 60^{\circ}-\sin \theta \sin 60^{\circ} \\ \\ =\frac{1}{2}\cos \theta-\frac{\sqrt{3}}{2}\sin \theta \\ \\ \therefore a=-\frac{\sqrt{3}}{2}, b=\frac{1}{2}[/tex]

Question in image. Please provide process as well.

Answers

Answer:

Step-by-step explanation:

The dot plot shows predictions for the winning time in a 200-meter sprint. The winner finished the race in 22.3 seconds. Find the greatest percent error for a prediction to the nearest tenth of a percent. Justify your answer.

Answers

Answer:

The required greatest percent error among the predictions is 1.773% (Approximately 1.8%).

Step-by-step explanation:

Given that,

The dot plot shows predictions for the winning time in the​ 200-meter sprint.
The winner finished the race in 22.5 seconds.

We have to determine,

What is the greatest percent error among the​ predictions.

According to the question,
The true finishing time is 22.5 seconds.
The prediction furthest from this is 22.9 seconds.
This is a difference of 22.9 - 22.5 = 0.4 seconds. 

Divide this over the true time value to get prediction,
0.4/22.5 = 0.0177 = 1.77 (Approximately)

Move the decimal point to the right 2 spots to get to 1.773% (Approximately 1.8%).

Hence, The required greatest percent error among the predictions is 1.773% (Approximately 1.8%).


Hope my answer helps you.

:)

Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss

The correct answer will get brainliest

Find the 3 smallest positive x-intercepts of the graph of
y = cos(12x) + cos(16x) and list them in increasing order.

Please give your answers as a list of x-coordinates from least to greatest.

Answers

Recall that [tex]\cos(x)+\cos(y)=2\cos \left(\frac{x+y}{2} \right)\cos \left(\frac{x-y}{2} \right)[/tex].

[tex]\cos(12x)+\cos(16x)=0 \\ \\ 2\cos(2x)\cos(14x)=0 \\ \\ \cos(2x)\cos(14x)=0[/tex]

If [tex]\cos(2x)=0[/tex], then [tex]x=\frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \cdots[/tex].

If [tex]\cos(14x)=0[/tex], then [tex]x=\frac{\pi}{28}, \frac{3\pi}{28}, \frac{5\pi}{28}, \cdots[/tex].

So, the three smallest positive [tex]x[/tex] intercepts are [tex]\frac{\pi}{28}, \frac{3\pi}{28}, \frac{5\pi}{28}[/tex].

[tex]-2(6x+36)-7x\leq 23 and 6x+10\ \textgreater \ 40[/tex]

PLEASE HELP ME NOW THANK YOU I WILL GIVE YOU BRAINLIEST

Answers

You have to rewrite the solution to solve for the inequalities shown in the picture below. There’s another way to write the answer as x>5 or { x|x>5 }

Answer:

Step-by-step explanation:

-2(6x+36)-7x [tex]\leq[/tex] 23

First, multiply -2 with the terms on the parenthesis, using the distributive law

-12x-72-7x[tex]\leq[/tex]23

Then we gather similar terms, x with x, no x with no x

-12x-7x-72 [tex]\leq[/tex] 23

do -12x and -7x calculation

-19x-72[tex]\leq[/tex]23.

Since we want to find the X, we highlight it turning it into the first term

-19x[tex]\leq[/tex]23+72

then add 23 + 72

-19x[tex]\leq[/tex]95

then divide all members on the equation by -19

-19x/(-19)[tex]\geq[/tex]95/(-19)

x[tex]\geq[/tex] -5.

Now, 6x + 10 > 40

since we want to find x, we make it the first term of the inequation

6x>40-10

6x>30

divide all members by 6

x>5

Pleasseee helppp meeee I i will reward branliest to best answer

Answers

Answer: -3

Step-by-step explanation: You have to multiply 8*-2 resulting in -16*5 which’s equals -80 and divide 240 by -80 giving you -3

Use the visual shown as a starting point. Describe how you can use diagrams to show that a² — b² = (a + b)(a — b).

Answers

Answer:

Step-by-step explanation:

please help me please!

Answers

the correct answer is 9 cm

Answer:

10 ft

Step-by-step explanation:

Because if you look on the other side to the 6 you can tell its going to be bigger and it looks like it would be 4 more, and it wouldn't be ft squared because the rest arent like that so ft is the only one that matches the rest.

Explain how to use equivalent fractions to compare the fractions three fourths and seven twelfths. essay btw

Answers

Answer:

Step-by-step explanation:

4/12

First off, this can be reduced since both the

numerator and denominator are divisible by 4

4/12 = (4(1))/(4(3)) = 1/3

Any fraction equivalent to 1/3 will be equivalent to 4/12

... And, of course, 1/3 is equivalent to 4/12 ...

Any number or fraction does not change in value if

multiplied by 1.  This means you can take your 1/3

or 4/12 and multiply it by any fraction equivalent to

1 and have an equivalent fraction..

Also note that any number divided by itself equals 1

so  a/a = 1 for any given value a except a≠0

(1/3)(2/2) = 2/6

(1/3)(3/3) = 3/9

(1/3)(-2/-2) = -2/-6 = 2/6

(1/3)(4/4) = 4/12   as we know since this is the original fraction

(1/3)(5/5) = 5/15

....

....

1/3, 2/6 , 3/9, 5/15, 6/18, 7/21, ....

There are infinite equivalent fractions to 4/12.

help me pleaseeeeeeeeeeeeee!!

Answers

Answer: 16

Step-by-step explanation:

Entire garden = 7 x 4 = 28m^2
Roses = 3 x 2 = 6m^2
2 Roses = 6 x 2 = 12m^2
Entire garden - 2 Roses = Tulips
So:
28 - 12 = 16 square metres

Answer:

16m2(it's meant to be squared so small 2 on top)

Step-by-step explanation:

1x2=2 (that is for the small turquoise box)

2x7=14(main big box)

2+14=16m2(same here with the 2)

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