Question

Factorize x (x-y)^3 +3x^2y (x-y)

Answer 1

`x(x-y)^3 +3x^2y(x-y)` ←Take out common factor x(x-y)


`= x(x-y) [(x-y)^2 + 3xy]` ← Apply (a-b)² = a² + 2ab + b²


`= x(x-y) [x^2 -2xy + y^2 + 3xy]` ← Combine like terms


`= x(x-y)(x^2 - xy + y^2)`