What is (2x^2-12x)/(x^2-3x-18) ?

The solution to (2x^2-12x)/(x^2-3x-18) is (2x)/(x+3)

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simplify (2x^2-12x)/(x^2-3x-18)

simplify

\frac{2 x ^{2} - 12 x}{x ^{2} - 3 x - 18}

\frac{2 x}{x + 3}

Solution steps

\frac{2 x ^{2} - 12 x}{x ^{2} - 3 x - 18}

Factor

2 x^{2} - 12 x : 2 x (x - 6)

= \frac{2 x ( x - 6 )}{x ^{2} - 3 x - 18}

Factor

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

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

Cancel the common factor:

x - 6

= \frac{2 x}{x + 3}

\frac{3}{8} \times \frac{5}{6} \div \frac{1}{4}

\frac{1}{2} + 2

(y^{2} + 2 y) (y^{3} - 2 y^{2} + 1)

\frac{- x y ^{2} z ^{3}}{( x y ^{2} z ^{3} ) ^{- 1}}

(n - 1) (n + 20)

What is (2x^2-12x)/(x^2-3x-18) ?
The solution to (2x^2-12x)/(x^2-3x-18) is (2x)/(x+3)