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We know the identity a 2−b 2=(a+b)(a−b)
Using the above identity, the given expression a 2−b 2−a+b can be factorised as follows:
- a 2−b 2−a+b
- =[(a+b)(a−b)]−1(a−b)
- =(a−b)(a+b−1)
- Hence, a 2−b 2−a+b=(a−b)(a+b−1)
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