Question

Find the following squares by
using the identities.


$(i) \: \sf\ \: \: \: \: \: \bigg( \frac{2}{3} m + \frac{3}{2} n\sf\ \: \bigg) {}^{2}$

$(ii) \: \: \: (2xy + 5y) {}^{2}$

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Answer 1

Answer:

${ ( \frac{2}{3}m ) }^{2} + 2 \times \frac{2}{3} m \times \frac{3}{2}n + { (\frac{3}{2}n) }^{2} \\ { \frac{4}{9}m}^{2} + 2mn + {\frac{9}{4}n}^{2} \: \: ans$

${(2xy)}^{2} + 2 \times 2xy \times 5y + {(5y)}^{2} \\ {4xy}^{2} + {20xy}^{2} + {25y}^{2} \\ {24xy}^{2} + {25y}^{2}$