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Question
Factorise: 25(2x + y)2 - 16(x - y)2
Sum
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Solution
25(2x + y)2 - 16(x - y)2
= [5(2x + y)]2 - [4(x-y)]2
= (10x + 5y)2 - (4x - 4y)2
= (10x + 5y + 4x - 4y) (10x + 5y - 4x + 4y)
= (14x + y)(6x + 9y)
= (14x + y) 3(2x + 3y)
= 3 (14x + y)(2x + 3y)
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Factorisation by Difference of Two Squares
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