factorise 100x2-16x2-25y2+40xy
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Answer:
The answer is (14x-5y)(6x+5y) .
Explanation:
Given,
100x2-16x2-25y2+40xy
= 100x2-(16x2-40xy+25y2)
= 100x2- {(4x)2-2×4x×5y+ (5y)2}
= 100x2-(4x-5y)2
= (10x)2-(4x-5y)2
= (10x+4x-5y){10x-(4x-5y)}
= (10x+4x-5y)(10x-4x+5y)
= (14x-5y)(6x+5y) [ans]
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