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Question

Factorise 121x2-49y2.


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Solution

As we know the algebraic identity,

a2-b2=(a+b)(a-b)

So, it can be factorized by using this identity, we can write:

121x2-49y2 = (11x)2-(7y)2

= (11x+7y)(11x-7y)

Therefore factors of 121x2-49y2 = (11x+7y)(11x-7y).


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