Question

How do you factor `x^3+27y^3`?

Answer 1

Use the identity: a^3 + b^3 = (a + b)(a^2 - ab + b^2)

Replace b^3 by 27y^3

x^3 + 27b^3 = (x + 3y)(x^2 - 3xy + 9y^2)