What is (x^2+11x+18)/(x^4+9x^3) ?

The solution to (x^2+11x+18)/(x^4+9x^3) is (x+2)/(x^3)

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simplify (x^2+11x+18)/(x^4+9x^3)

simplify

\frac{x ^{2} + 11 x + 18}{x ^{4} + 9 x ^{3}}

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

Solution steps

\frac{x ^{2} + 11 x + 18}{x ^{4} + 9 x ^{3}}

Factor

x^{2} + 11 x + 18 : (x + 2) (x + 9)

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

Factor

x^{4} + 9 x^{3} : x^{3} (x + 9)

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

Cancel the common factor:

x + 9

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

3 x - 6 x

\frac{3}{4 + 3}

- 20 a - 5 a + 11 a

\frac{x ^{2} + 7 x + 10}{x ^{2} - 25}

\frac{4 x ^{2}}{x ^{3} - 4 x ^{2}}

What is (x^2+11x+18)/(x^4+9x^3) ?
The solution to (x^2+11x+18)/(x^4+9x^3) is (x+2)/(x^3)