Question

Find the product :
$( \frac{x}{2} + \frac{2}{3} y)( \frac{2}{3}x - \frac{3}{4} y)$​

Answer 1

Answer:

$( \frac{x}{2} + \frac{2y}{3} )( \frac{2x}{3} - \frac{3y}{4} ) \\ = \frac{2 {x}^{2} }{6} - \frac{3xy}{8} + \frac{4xy}{9} - \frac{6 {y}^{2} }{12} \\ = \frac{ {x}^{2} }{3} - \frac{3xy}{8} + \frac{4xy}{9} - \frac{ {y}^{2} }{2} \\ = \frac{ {x}^{2} }{3} - \frac{27xy + 32xy}{72} - \frac{ {y}^{2} }{2} \\ = \frac{ {x}^{2} }{3} - \frac{5xy}{72} - \frac{ {y}^{2} }{2}$

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