Question
Factorise: $x^4y^4 - xy$
✓
Answer
$x^4y^4 - xy$
$= xy(x^3y^3 - 1)$
$= xy[(xy)^3 - (1)^3]$
$= xy{(xy - 1)[(xy)^2 + (xy)(1) + (1)^2]}$
$= xy(xy - 1)(x^2y^2 + xy + 1)$
$= xy(x^3y^3 - 1)$
$= xy[(xy)^3 - (1)^3]$
$= xy{(xy - 1)[(xy)^2 + (xy)(1) + (1)^2]}$
$= xy(xy - 1)(x^2y^2 + xy + 1)$
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