What is (x^2-5x-36)/(x^2+10x+24)*(4x+24)/(6x-54) ?

The solution to (x^2-5x-36)/(x^2+10x+24)*(4x+24)/(6x-54) is 2/3

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simplify (x^2-5x-36)/(x^2+10x+24)*(4x+24)/(6x-54)

simplify

\frac{x ^{2} - 5 x - 36}{x ^{2} + 10 x + 24} \cdot \frac{4 x + 24}{6 x - 54}

\frac{2}{3}

Decimal Notation

0.66666 \dots

Solution steps

\frac{x ^{2} - 5 x - 36}{x ^{2} + 10 x + 24} \cdot \frac{4 x + 24}{6 x - 54}

Cancel

\frac{x ^{2} - 5 x - 36}{x ^{2} + 10 x + 24} : \frac{x - 9}{x + 6}

= \frac{x - 9}{x + 6} \cdot \frac{4 x + 24}{6 x - 54}

Cancel

\frac{4 x + 24}{6 x - 54} : \frac{2 ( x + 6 )}{3 ( x - 9 )}

= \frac{x - 9}{x + 6} \cdot \frac{2 ( x + 6 )}{3 ( x - 9 )}

Apply the fraction rule:

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

= \frac{( x - 9 ) \cdot 2 ( x + 6 )}{( x + 6 ) \cdot 3 ( x - 9 )}

Cancel the common factor:

x - 9

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

Cancel the common factor:

x + 6

= \frac{2}{3}

2 x (- 10 x^{3} y)

(y - x) (z - x) (z - y)

(- 1 - i 3)^{- 2}

\frac{85}{100}

What is (x^2-5x-36)/(x^2+10x+24)*(4x+24)/(6x-54) ?
The solution to (x^2-5x-36)/(x^2+10x+24)*(4x+24)/(6x-54) is 2/3