Question

(a) Factorize a^(3)-8b^(3) and a^(3)-4ab^(2) into linear or quadratic factors with integral coefficients.
(b) Find the LCM of a^(3)-8b^(3) and a^(3)-4ab^(2).

Answer 1

@Callisto would you kindly help me?

Answer 2

What kind of sorcery is this.

Answer 3

For part a:
a^(3)-8b^(3)
= a^3 - (2b)^3
Use the identity a^3 - b^3 = (a-b)(a^2 + ab +b^2) to factorize it.

a^(3)-4ab^(3)
Take out the common factor first.
Then, you need to use the identity a^2 - b^2 = (a+b)(a-b) to factorize it.