What is (\frac{x^2-4)/(5x+30)}{(x^2+11x+18)/(3x+27)} ?

The solution to (\frac{x^2-4)/(5x+30)}{(x^2+11x+18)/(3x+27)} is (3(x-2))/(5x+30)

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simplify (\frac{x^2-4)/(5x+30)}{(x^2+11x+18)/(3x+27)}

simplify

\frac{\frac{x ^{2} - 4}{5 x + 30}}{\frac{x ^{2} + 11 x + 18}{3 x + 27}}

\frac{3 ( x - 2 )}{5 x + 30}

Solution steps

\frac{\frac{x ^{2} - 4}{5 x + 30}}{\frac{x ^{2} + 11 x + 18}{3 x + 27}}

Apply the fraction rule:

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

= \frac{( x ^{2} - 4 ) ( 3 x + 27 )}{( 5 x + 30 ) ( x ^{2} + 11 x + 18 )}

Cancel

\frac{( x ^{2} - 4 ) ( 3 x + 27 )}{( 5 x + 30 ) ( x ^{2} + 11 x + 18 )} : \frac{( x - 2 ) \cdot 3}{5 x + 30}

= \frac{( x - 2 ) \cdot 3}{5 x + 30}

= \frac{3 ( x - 2 )}{5 x + 30}

5 \cdot 3 x

10 - 5

18 + 9

\frac{3 ^{5}}{3}

3 \cdot (- \frac{2}{3})

What is (\frac{x^2-4)/(5x+30)}{(x^2+11x+18)/(3x+27)} ?
The solution to (\frac{x^2-4)/(5x+30)}{(x^2+11x+18)/(3x+27)} is (3(x-2))/(5x+30)