Question

expand : (⅔ m +3/2 m )²​

Answer 1

Step-by-step explanation:

$(\frac{2}{3} m + \frac{3}{2} m) ^{2}$

$by \: using \: identity \: (a + b)^{2} = {a}^{2} + {b}^{2} + 2ab$

$(\frac{2}{3}{m)}^{2} + ( \frac{3}{2} {m})^{2} + 2 \times \frac{2}{3} m \times \frac{3}{2} m$

$\frac{4}{9 } {m}^{2} + \frac{9}{4} {m}^{2} + 2m$

Taking (m) common

$m( \frac{4}{9} m + \frac{9}{4} m + 2)$

hope it helps u

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