a(a - 1) - b(b - 1)
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Given,
= a2 - a - b2 + b
= a2 - b2 - a + b
= (a + b)(a - b) - 1(a - b)
= (a - b)(a + b - 1).
Hence, a(a - 1) - b(b - 1) = (a - b)(a + b - 1).
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Factorise :
9(a - 2)2 - 16(a + 2)2
(a + b)3 - a - b
4a2 - (4b2 + 4bc + c2)
4a2 - 49b2 + 2a - 7b