Sum and Difference of Two Cubes Answers

Which number is a perfect cube?

A cube with side length is stacked on another cube with side length . What is the total volume of the cubes in factored form?

What is the cube root of ?

What is the factored form of ?

What is the justification for the first step in proving the formula for factoring the sum of cubes?a3 + b3 = (a + b)(a2 – ab + b2) = a3 – a2b + ab2 + a2b – ab2 + b3