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Question
Factorise the following:
a2 + b2 – c2 – d2 + 2ab – 2cd
Sum
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Solution
a2 + b2 – c2 – d2 + 2ab – 2cd
= (a2 + b2 + 2ab) – (c2 + d2 + 2cd)
= (a + b)2 – (c + d)2
= (a + b + c + d) (a + b – c – d)
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Method of Factorisation : Difference of Two Squares
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