What is (x^3+8x^2+17x+10)/(x^2+2x) ?

The solution to (x^3+8x^2+17x+10)/(x^2+2x) is ((x+1)(x+5))/x

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simplify (x^3+8x^2+17x+10)/(x^2+2x)

simplify

\frac{x ^{3} + 8 x ^{2} + 17 x + 10}{x ^{2} + 2 x}

\frac{( x + 1 ) ( x + 5 )}{x}

Solution steps

\frac{x ^{3} + 8 x ^{2} + 17 x + 10}{x ^{2} + 2 x}

Factor

x^{3} + 8 x^{2} + 17 x + 10 : (x + 1) (x + 2) (x + 5)

= \frac{( x + 1 ) ( x + 2 ) ( x + 5 )}{x ^{2} + 2 x}

Factor

x^{2} + 2 x : x (x + 2)

= \frac{( x + 1 ) ( x + 2 ) ( x + 5 )}{x ( x + 2 )}

Cancel the common factor:

x + 2

= \frac{( x + 1 ) ( x + 5 )}{x}

22 \times 8

\frac{1}{3} x^{\frac{- 2}{3}}

\frac{1}{2} x^{- 1}

\frac{120}{150}

(3 e^{3 x})^{2}

What is (x^3+8x^2+17x+10)/(x^2+2x) ?
The solution to (x^3+8x^2+17x+10)/(x^2+2x) is ((x+1)(x+5))/x