What is (x^3-9x)/(3x^2-6x-9) ?

The solution to (x^3-9x)/(3x^2-6x-9) is (x(x+3))/(3(x+1))

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simplify (x^3-9x)/(3x^2-6x-9)

simplify

\frac{x ^{3} - 9 x}{3 x ^{2} - 6 x - 9}

\frac{x ( x + 3 )}{3 ( x + 1 )}

Solution steps

\frac{x ^{3} - 9 x}{3 x ^{2} - 6 x - 9}

Factor

x^{3} - 9 x : x (x + 3) (x - 3)

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

Factor

3 x^{2} - 6 x - 9 : 3 (x + 1) (x - 3)

= \frac{x ( x + 3 ) ( x - 3 )}{3 ( x + 1 ) ( x - 3 )}

Cancel the common factor:

x - 3

= \frac{x ( x + 3 )}{3 ( x + 1 )}

12 + 3

\frac{9}{10} \div \frac{3}{5}

2 x + 30

(3 x - 1) (2 x + 3)

(x - 2) \cdot (x - 3)

What is (x^3-9x)/(3x^2-6x-9) ?
The solution to (x^3-9x)/(3x^2-6x-9) is (x(x+3))/(3(x+1))