What is (x^3-81x)/(x^3+4x^2-45x) ?

The solution to (x^3-81x)/(x^3+4x^2-45x) is (x-9)/(x-5)

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simplify (x^3-81x)/(x^3+4x^2-45x)

simplify

\frac{x ^{3} - 81 x}{x ^{3} + 4 x ^{2} - 45 x}

\frac{x - 9}{x - 5}

Solution steps

\frac{x ^{3} - 81 x}{x ^{3} + 4 x ^{2} - 45 x}

Factor

x^{3} - 81 x : x (x + 9) (x - 9)

= \frac{x ( x + 9 ) ( x - 9 )}{x ^{3} + 4 x ^{2} - 45 x}

Factor

x^{3} + 4 x^{2} - 45 x : x (x - 5) (x + 9)

= \frac{x ( x + 9 ) ( x - 9 )}{x ( x - 5 ) ( x + 9 )}

Cancel the common factor:

x

= \frac{( x + 9 ) ( x - 9 )}{( x - 5 ) ( x + 9 )}

Cancel the common factor:

x + 9

= \frac{x - 9}{x - 5}

(2 x + 1) (x^{2} - 6 x + 7)

(2 x + 7) (2 x - 7)

24 b + 8

- 71

\frac{7 x + 3}{x - 7} + \frac{1}{x + 4}

What is (x^3-81x)/(x^3+4x^2-45x) ?
The solution to (x^3-81x)/(x^3+4x^2-45x) is (x-9)/(x-5)