Find the following squares by using the identities ${(6 x^{2} - 5 y)}^{2}$ .

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Solution

Evaluate the given expression
Given, ${(6 x^{2} - 5 y)}^{2}$
We are using the identity, $(a - b)^{2} = a^{2} + b^{2} - 2 a b$
${(6 x^{2} - 5 y)}^{2} = {(6 x^{2})}^{2} + {(5 y)}^{2} - 2 (6 x^{2}) (5 y) = 36 x^{4} + 25 y^{2} - 60 x^{2} y$
Hence, the required answer is $36 x^{4} + 25 y^{2} - 60 x^{2} y$ .

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