What is (3x^2-18x)/(x^2-2x-24) ?

The solution to (3x^2-18x)/(x^2-2x-24) is (3x)/(x+4)

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simplify (3x^2-18x)/(x^2-2x-24)

simplify

\frac{3 x ^{2} - 18 x}{x ^{2} - 2 x - 24}

\frac{3 x}{x + 4}

Solution steps

\frac{3 x ^{2} - 18 x}{x ^{2} - 2 x - 24}

Factor

3 x^{2} - 18 x : 3 x (x - 6)

= \frac{3 x ( x - 6 )}{x ^{2} - 2 x - 24}

Factor

x^{2} - 2 x - 24 : (x + 4) (x - 6)

= \frac{3 x ( x - 6 )}{( x + 4 ) ( x - 6 )}

Cancel the common factor:

x - 6

= \frac{3 x}{x + 4}

(2 x - 5) (3 x^{2} - 2 x + 6)

\frac{54}{9}

(x + 5) (x - 6)

(2 x + 1) (x - 5)

(- 1 - t)^{3}

What is (3x^2-18x)/(x^2-2x-24) ?
The solution to (3x^2-18x)/(x^2-2x-24) is (3x)/(x+4)