Question

Factorise x (x-y)^4+3xy (x-y)^2

Answer 1

=x(x-y)^2(x-y)^2+3xy(x-y)^2
=x(x^2-2xy+y^2)^2+3xy(x^2-2xy+y^2)
=x(x^4+4x3y+6x2y^2+4xy3+y4)+3x^2y−6x2y^2+3xy^3
=x5+−4x4y+6x3y2+−4x2y3+xy4+3x3y+−6x2y2+3xy3