Question

factorise x^4y^4 - xy​

Answer 1

Answer:

xy(xy-1)(x^2y^2+xy+1)

Step-by-step explanation:

x^4y^4-xy

=xy(x^3y^3-1)

=xy[(xy)^3-(1)^3]

=xy(xy-1)[(xy)^2+xy×1+(1)^2]

xy(xy-1)(x^2y^2+xy+1)

By using identity:(a^3-b^3)=(a-b)(a^2+ab+b^2)