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Question
Express each of the following as the difference of two squares:
(x2 - 2x + 3) (x2 - 2x - 3)
Sum
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Solution
(x2 - 2x + 3) (x2 - 2x - 3)
= [(x2 - 2x) + 3][(x2 - 2x) + 3]
= (x2 - 2x)2 - (3)2
= (x2 - 2x)2 - 9.
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Method of Factorisation : Difference of Two Squares
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