Question

What is the justification for the first step in proving the formula for factoring the sum of cubes? a ^ 3 + b ^ 3 = (a + b)(a ^ 2 - ab + b ^ 2)

Answer 1

It's A

Distributive property

Explanation:

Answer 2

So, the property used is Distributive Property of Multiplication.

Explanation:

Given;

`a^(3) +b^(3) =(a+b)(a^(2)-ab+b^(2)  )`

`=a^(3) -a^(2) * b+a* b^(2) +a^(2) * b-a* b^(2)`

`(a+b)` is distributed among the terms in the parenthesis and multiplied to each of the terms inside the parenthesis

So, the property used for proving the formula for factoring the sum of cubes is Distributive Property of Multiplication.