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Question
Factorise the following:
25(x - y)2 - 49(c - d)2
Sum
Solution
25(x - y)2 - 49(c - d)2
= [5(x - y)]2 - [7(c - )]2
= [5(x - y) - 7(c - d)][5(x - y) + 7(c - d)]
= (5x - 5y - 7c + 7d)(5x - 5y + 7c - 7d).
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Method of Factorisation : Difference of Two Squares
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