Question

Expand (a upon 2 + b upon 3)
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Answer 1

${\huge\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink\blue{!}}}$

$( \frac{ a}{2} + \frac{b}{3} ) {}^{2}$

$= ( \frac{a}{2} ) {}^{2} + ( \frac{b}{3} ) {}^{2} + 2( \frac{a}{2} \times \frac{b}{3} ) \\ = \frac{ {a}^{2} }{4} + \frac{b {}^{2} }{9} + \frac{2ab}{6}$

Answer 2

${\huge\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink\blue{!}}} \\ </p><p></p><p>( \frac{ a}{2} + \frac{b}{3} ) {}^{2}(2a+3b)2</p><p></p><p>\begin{gathered} = ( \frac{a}{2} ) {}^{2} + ( \frac{b}{3} ) {}^{2} + 2( \frac{a}{2} \times \frac{b}{3} ) \\ = \frac{ {a}^{2} }{4} + \frac{b {}^{2} }{9} + \frac{2ab}{6} \end{gathered}=(2a)2+(3b)2+2(2a×3b)=4a2+9b2+62ab</p><p></p><p>$