Factorise :
a2 - ab(1 - b) - b3
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= a2 - ab + ab2 - b3
= (a2 - ab) + (ab2 - b3)
= a(a - b) + b2(a - b)
= (a - b)(a + b2)
Hence,a2 - ab(1 - b) - b3 = (a - b)(a + b2)
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8(2a + 3b)3 - 12(2a + 3b)2
9a(x - 2y)4 - 12a(x - 2y)3
xy2 + (x - 1)y - 1
(ax + by)2 + (bx - ay)2