Math +; Chapter 2 (Sum and Difference of Two Cubes)

Question 1

What is the formula for the sum and difference of two cubes?

Answer 1

(a³+b³) = (a+b)(a²-ab+b²)\
and
(a³-b³) = (a-b)(a²+ab+b²)

Question 2

What happens if we expand an expression that has the concept of the sum or difference of two cubes?

Answer 2

We can produce a binomial and a trinomial

Question 3

Solve for (64x³-125y³)

Answer 3

(64x³-125y³) = (4x-5y)(16x²+20xy+25y²)