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Factorise 36y2−121 completely.

Question

Factorise 36y2−121 completely.

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Solution

The given expression is 36y^2 - 121.

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

Here, a = 6y and b = 11 because (6y)^2 = 36y^2 and 11^2 = 121.

So, 36y^2 - 121 = (6y - 11)(6y + 11).

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