We use the identity: (a + b)^2 = a^2 + 2ab + b^2 .Taking a = 2x and b = 3y , #160;we get (2x + 3y)^2 = (2x)^2 + 2(2x)(3y) + (3y)^2 = 4x^2 ...

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Algebraic Identities

Find 2x + 3...

Question

Find $(2 x + 3 y)^{2}$ .

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Solution

We use the identity: $(a + b)^{2} = a^{2} + 2 a b + b^{2}$ .
Taking $a = 2 x$ and $b = 3 y$ ,
we get $(2 x + 3 y)^{2} = (2 x)^{2} + 2 (2 x) (3 y) + (3 y)^{2} = 4 x^{2} + 12 x y + 9 y^{2}$ .

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