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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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