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Question
Factorise the following by the difference of two squares:
x2 + y2 - z2 - 2xy
Sum
Solution
x2 + y2 - z2 - 2xy
= x2 + y2 - 2xy - z2
= (x2 + y2 - 2xy) - z2
= (x - y)2 - (z)2
= (x - y - z)(x - y + z).
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Method of Factorisation : Difference of Two Squares
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