Using the identity $(a + b)^{2} = a^{2} + 2 a b + b^{2}$ , simplify $(2 p + 3 q)^{2}$

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Solution

As given in the Question- $(a + b)^{2} = a^{2} + 2 a b + b^{2}$
Using this Identity,
$(2 p + 3 q)^{2}$ = $(2 p)^{2} + 2 (2 p \times 3 q) + (3 q)^{2}$
= $4 p^{2} + 2 (6 p q) + 9 q^{2}$
= $4 p^{2} + 12 p q + 9 q^{2}$

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