Question
Factorise:
x4y4 - xy
x4y4 - xy
✓
Answer
x4y4 - xy
= xy(x3y3 - 1)
= xy[(xy)3 - (1)3]
= xy{(xy - 1)[(xy)2 + (xy)(1) + (1)2]}
= xy(xy - 1)(x2y2 + xy + 1)
= xy(x3y3 - 1)
= xy[(xy)3 - (1)3]
= xy{(xy - 1)[(xy)2 + (xy)(1) + (1)2]}
= xy(xy - 1)(x2y2 + xy + 1)
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