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Question

Factorise:
4a2 – 4b2 + 4a + 1

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Solution

4a2-4b2+4a+1=4a2+4a+1-4b2=2a2+2×2a×1+12-4b2=2a+12-2b2 a2+2ab+b2=a+b2

=2a+1+2b2a+1-2b a2-b2=a+ba-b=2a+1+2b2a+1-2b=2a+2b+12a-2b+1

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