Question

6) calcular os seguintes quocientes :
b)
$\frac{x {}^{2} }{xy - y {}^{2} } \div \frac{x {}^{2} + xy }{x {}^{2} - y {}^{2} }$
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Answer 1

Resposta:

$\frac{ {x}^{2} }{xy - {y}^{2} } \div \frac{ {x}^{2 } + xy }{ {x}^{2} - {y}^{2} }$

$\frac{ {x}^{2} }{y \times (x - y)} \div \frac{ {x}^{2} + xy }{ {x}^{2} - {y}^{2} }$

$\frac{ {x}^{2} }{y \times (x - y)} \times \frac{ {x}^{2} - {y}^{2} }{ {x}^{2} + xy}$

$\frac{ {x}^{2} }{y \times (x - y)} \times \frac{(x - y) \times (x + y)}{ {x}^{2} + xy}$

$\frac{ {x}^{2} }{y \times (x - y)} \times \frac{(x - y) \times (x + y)}{x \times (x + y)}$

$\frac{ {x}^{2} }{y} \times \frac{x + y}{x \times (x + y)}$

$\frac{ {x}^{2} }{y} \times \frac{1}{x}$

$\frac{x}{y}$

Explicação passo-a-passo:

Espero ter colaborado,bons estudos❤.