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# Find the following squares by using the identities. (2/3m+3/2n)^2

Q : 3    Find the following squares by using the identities.

(iv) $(\frac{2}{3}m+\frac{3}{2}n)^2$

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we use the identity
$(a+b)^{2} = a^{2} + 2ab + b^{2}$
In this a = $\frac{2m}{3}$  and b =$\frac{3n}{2}$
$(\frac{2m}{3} + \frac{3n}{2})^{2} = (\frac{2m}{3})^{2} + 2(\frac{2m}{3})( \frac{3n}{2}) + ( \frac{3n}{2})^{2}$

= $\frac{4m^{2}}{9} + 2mn + \frac{9n^{2}}{4}$

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