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Question
Factorise the following:
a2 + b2 - c2 - d2 + 2ab - 2cd
Sum
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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