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Factorise 36x2−49y2 completely.

Question

Factorise 36x2−49y2 completely.

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Solution

The given expression is 36x^2 - 49y^2.

This is a difference of squares, which can be factored using the formula a^2 - b^2 = (a - b)(a + b).

Here, a = 6x and b = 7y.

So, 36x^2 - 49y^2 = (6x - 7y)(6x + 7y).

Therefore, the factorization of 36x^2 - 49y^2 is (6x - 7y)(6x + 7y).

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