Factorise :
xy2 + (x - 1)y - 1
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= xy2 + xy - y - 1
= (xy2 + xy) - (y + 1)
= xy(y + 1) - 1(y + 1)
= (y + 1)(xy - 1)
Hence,xy2 + (x - 1)y - 1 = (y + 1)(xy - 1)
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9a(x - 2y)4 - 12a(x - 2y)3
a2 - ab(1 - b) - b3
(ax + by)2 + (bx - ay)2
ab(x2 + y2) - xy(a2 + b2)