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Popular >

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

Solution

simplify

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

Solution

- x

Solution steps

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

Factor

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

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

Factor

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

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

Simplify

\frac{x + 3}{3 + x} : 1

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

Simplify

\frac{x - 3}{3 - x} : - 1

= x (- 1)

Simplify

x (- 1) : - x

= - x

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Frequently Asked Questions (FAQ)

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