Question

Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?

Answer 1

a-b divided into
`a^(3) + 0a^(2) b + 0 ab^(2) - b^(3)`

the reason is that the (a-b) vs (a+b) in the "SOAP"

same, opposite, always a plus the "-" in the "a-b" has to match the

sign between the two cubes

Explanation: