Solve : $(2 x y + 5 y)^{2}$

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Solution

Given expression is $(2 x y + 5 y)^{2}$

We know that, $(a + b)^{2} = a^{2} + 2 a b + b^{2}$
Hence, $(2 x y + 5 y)^{2} = (2 x y)^{2} + 2 (2 x y) (5 y) + (5 y)^{2}$
$\Rightarrow 4 x^{2} y^{2} + 20 x y^{2} + 25 y^{2}$

Hence, $(2 x y + 5 y)^{2} = 4 x^{2} y^{2} + 20 x y^{2} + 25 y^{2}$ .

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