Question

What is the completely factored form of xy3 – x3y?

xy(y + x)(y – x)
xy(y – x)(y – x)
x y (x minus y) (x squared + x y + y squared)
x y (x minus y) (y squared + x y + x squared)

Answer 1

A

Explanation:

Answer 2

`xy(y+x)(y-x)`

Explanation:

Given expression:

`xy^3-x^3y`

Factor out the common term
`xy`:

`\implies xy(y^2-x^2)`

Apply the Difference of Two Squares formula
`a^2-b^2=(a+b)(a-b)`:

`\implies xy(y+x)(y-x)`