Question

Hi I need help with this question, please and thank you

Answer 1

Factoring Pattern: C. difference of Cubes

Factored Form: (x - y)(x^2 +xy + y^2)

Step-by-step explanation

Step 1:

If you observe the expression very well, both terms are Perfect Cubes;

Hence, Difference of Cubes formula would be applied to factorize the expression.

Step 2:

Difference of Cubes formula

`(a-b)(a^2+ab+b^2)`

where a = x and b = y.

Step 3:

Rewriting the Expression

`\begin{gathered} (x-y)(x^2+xy+y^2) \\ =x^3+x^2y+xy^2-x^2y-xy^2-y^3) \\ \text{ = x}^3-y^3 \end{gathered}`

Hence, the Factored Form is (x - y)(x^2 +xy + y^2)