Mathematics
Factorise the following:
a(a - 2) - b(b - 2)
Factorisation
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Answer
a(a - 2) - b(b - 2) = a2 - 2a - b2 + 2b
= a2 - b2 - 2a + 2b
= (a - b)(a + b) - 2(a - b)
= (a - b)(a + b - 2).
Hence, a(a - 2) - b(b - 2) = (a - b)(a + b - 2).
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