What is (\frac{6x-12)/(x+3)}{(x-2)/(2x+6)} ?

The solution to (\frac{6x-12)/(x+3)}{(x-2)/(2x+6)} is 12

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simplify (\frac{6x-12)/(x+3)}{(x-2)/(2x+6)}

simplify

\frac{\frac{6 x - 12}{x + 3}}{\frac{x - 2}{2 x + 6}}

12

Solution steps

\frac{\frac{6 x - 12}{x + 3}}{\frac{x - 2}{2 x + 6}}

Apply the fraction rule:

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

= \frac{( 6 x - 12 ) ( 2 x + 6 )}{( x + 3 ) ( x - 2 )}

Cancel

\frac{( 6 x - 12 ) ( 2 x + 6 )}{( x + 3 ) ( x - 2 )} : 12

= 12

\frac{1 - cos ^{2} ( x )}{cos ( x )}

\frac{1}{x + 3} + \frac{1}{x - 3}

(- 5 - 2) (3 - 6)

\frac{4}{3} π 8^{3}

\frac{15 m ^{2}}{3 ( m ^{5} ) ^{3}}

What is (\frac{6x-12)/(x+3)}{(x-2)/(2x+6)} ?
The solution to (\frac{6x-12)/(x+3)}{(x-2)/(2x+6)} is 12