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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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