What is ((x^2-4)/x)/((x+2)/4) ?

The solution to ((x^2-4)/x)/((x+2)/4) is (4(x-2))/x

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simplify ((x^2-4)/x)/((x+2)/4)

simplify

\frac{\frac{x ^{2} - 4}{x}}{\frac{x + 2}{4}}

\frac{4 ( x - 2 )}{x}

Solution steps

\frac{\frac{x ^{2} - 4}{x}}{\frac{x + 2}{4}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( x ^{2} - 4 ) \cdot 4}{x ( x + 2 )}

Cancel

\frac{( x ^{2} - 4 ) \cdot 4}{x ( x + 2 )} : \frac{( x - 2 ) \cdot 4}{x}

= \frac{( x - 2 ) \cdot 4}{x}

= \frac{4 ( x - 2 )}{x}

2 x^{4} - 32 x^{2}

18 - 8

7^{- 5} \cdot 4^{- 5}

x^{2} \times x^{- 1}

\frac{x}{2 x - 5} - \frac{4 x + 15}{4 x ^{2} - 25}

What is ((x^2-4)/x)/((x+2)/4) ?
The solution to ((x^2-4)/x)/((x+2)/4) is (4(x-2))/x