Question

determine a expressao que representa o quadrado da soma das fracoes: x/2+2/y

Answer 1

$\frac{x}{2} + \frac{2}{y} = \frac{xy + 4}{2y} \\ \\ {( \frac{xy + 4}{2y}) }^{2} = \frac{ {(xy + 4)}^{2} }{ {(2y)}^{2} } = \\ \\ = \frac{ {x}^{2} {y}^{2} + 8xy + 16 }{4 {y}^{2} } = \\ \\ = \frac{ {x}^{2} }{4} + \frac{2x}{y} + \frac{4}{ {y}^{2} }$