Question

70. Cuál es el resultado de la siguiente división?
$( \frac{1}{4} m^{2} - \frac{2}{3} m {}^{3}n + \frac{3}{8} {m}^{2} {n}^{2} ) \div ( \frac{1}{4} {m}^{2} {n}^{2} )$
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Answer 1

Explicación paso a paso:

$( \frac{1}{4} m^{2} - \frac{2}{3} m {}^{3}n + \frac{3}{8} {m}^{2} {n}^{2} ) \div ( \frac{1}{4} {m}^{2} {n}^{2} )$

$\frac{6 {m}^{2} - 16 {m}^{3}n \: + \: 9 {m }^{2} {n}^{2} }{24} \div \frac{ {m}^{2} {n}^{2} }{4}$

$\frac{ {m}^{2} \times (6 \: - \: 16mn \: + \: 9 {n}^{2} )}{24} \times \frac{4}{ {m}^{2} {n}^{2} }$

$\frac{6 \: - \: 16mn \: + \: 9 {n}^{2} }{6} \times \frac{1}{ {n}^{2} } \:$

$\frac{6 \: - \: 16mn \: + \: 9 {n}^{2} }{6 {n}^{2} }$

SOLUCIÓN: 6 - 16mn + 9n²/6n²

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