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Question
Factorise: 49(x - y)2 -9(2x + y)2
Sum
Solution
49(x - y)2 -9(2x + y)2
= [7(x-y)]2 - [3(2x + y)]2
= (7x - 7y)2 - (6x + 3y)2
= (7x - 7y + 6x + 3y) (7x - 7y - 6x - 3y)
= (13x - 4y) (x - 10y)
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Factorisation by Difference of Two Squares
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