Olivia was asked to factor the following expression completely: x^3-x+3x^2y-3y x(x^2-1)+3y(x^2-1) (x + 3y)(x^2 - 1) How can you check Olivia’s work to show the answer is or is n…

Question

Olivia was asked to factor the following expression completely:


`x^3-x+3x^2y-3y`

`x(x^2-1)+3y(x^2-1)`

`(x + 3y)(x^2 - 1)`

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.

Answer 1

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

Answer 2

She is correct she check her work by multiplying her answer, using distributive property