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Question

Factorise:
1 + 2ab – (a2 + b2)

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Solution

1+2ab-a2+b2=1+2ab-a2-b2=1-a2+2ab-b2=12-a2-2ab+b2

=12-a-b2 a2-2ab+b2=a-b2=1+a-b1-a-b a2-b2=a+ba-b=1+a-b1-a+b

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