Expand the following using identities $(3 x - 4 y)^{2}$ .

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Solution

Given ${(3 x - 4 y)}^{2}$
Using Identity ${(a - b)}^{2} = a^{2} - 2 a b + b^{2}$
${(3 x - 4 y)}^{2} = (3 x)^{2} - 2 . (3 x) . (4 y) + {(4 y)}^{2}$
We get,
${(3 x - 4 y)}^{2} = 9 x^{2} - 24 x y + 16 y^{2}$ .

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