Mathematics Middle School

Olivia was asked to factor the following expression completely:
[tex]x^3-x+3x^2y-3y[/tex]
[tex]x(x^2-1)+3y(x^2-1)[/tex]
[tex](x + 3y)(x^2 - 1)[/tex]

How can you check Olivia’s work to show the answer is or is not correct. If Olivia is not correct, explain to Olivia where her mistake is and how to fix it.

Answers

Answer 1
She is correct she check her work by multiplying her answer, using distributive property
Answer 2
She is correct
She used factorisation method using
And factorised it well
She can check her answer by completing her answer into a solution
If she gets what the equation was from the beginning
She’s correct

Related Questions

If the probability of no rain tomorrow is 30%, what is the probability that it will rain tomorrow? Express your answer as a percent.

Answers

Answer:

70%

Step-by-step explanation:

Since the probability of no rain tomorrow is 30%, that means 30% of the probability is taken up by the chance of no rain.

Since the total probability always adds up to 100%, that means the remaining 70% of the probability must be for rain.'

So the probability that it will rain tomorrow is 70%.

You can verify this with a probability tree diagram:

Total Probability = 100%

No Rain - 30%

▼

More Likely event

▲

Rain - 70%

Since the chance of no rain is 30%, that leaves 70% for the chance of rain.

The probability that it will rain tomorrow is 70%.

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

Given the problem, we need to find the probability that it will rain tomorrow.

Since, the probability of no rain tomorrow is 30%, the probability that it will rain tomorrow is 100% - 30% = 70%.

Hence, the probability that it will rain tomorrow is 70%.

Learn more on probability at:

https://brainly.com/question/31828911

What is the area to this?

Answers

Answer:

The Area of the polygon is 36m².

Step-by-step explanation:

Area of the polygon= Area of rectangle + Area of triangle

Diagram

______________

l. l \

3m |. 3m l. \

|. l. /

|_____________ l /

11m. 2m

( 13m).

Area of rectangle= Length × Width

= 11m × 3m

= 33m²

Area of triangle= ½ × base × height

To find the height= 13m - 11m = 2m

= ½ × 3 × 2

= ½ × 6

= 3m²

Area of the polygon= 33m² + 3m² = 36m²

36 is the area of that
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