Using suitable identities find: $(x y + 3 p)^{2}$

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Solution

Find:- $(x y + 3 p)^{2}$
We know that
$(a + b)^{2} = a^{2} + 2 a b + b^{2}$
From above identity we can
$(x y + 3 p)^{2} = (x y)^{2} + 2 (x y) (3 p) + (3 p)^{2}$
$= x^{2} y^{2} + 6 x y p + 9 p^{2}$ .

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