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Factorise a2 – 2ab + b2 – c2. - Mathematics

Sum

Factorise a2 – 2ab + b2 – c2.

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Solution

a2 - 2ab + b2 - c2
= (a - b)2 - c2
= [(a - b) - c)((a - b) + c)]
= (a - b - c)(a - b + c)        ......(required factorisation)
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