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Factorisation by Common Factors

Factorise: 2-...

Question

Factorise: a²-1+2b-b²

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Solution

a²-1+2b-b² = a²- (1-2b+b²) = a²- (1-b)² = (a+(1-b))(a-(1-b)) = (a+1-b)(a-1+b)

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