Question
Factorise:
x(x + y)3 - 3x2y(x + y)
x(x + y)3 - 3x2y(x + y)
✓
Answer
x(x + y)3 - 3x2y(x + y)
= x(x + y)[(x + y)2 - 3xy]
= x(x + y)(x2 + y2 + 2xy - 3xy)
= x(x + y)(x2 + y2 - xy)
= x(x + y)[(x + y)2 - 3xy]
= x(x + y)(x2 + y2 + 2xy - 3xy)
= x(x + y)(x2 + y2 - xy)
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