What is (-3x^2-5x+2)/(x^3+2x^2) ?

The solution to (-3x^2-5x+2)/(x^3+2x^2) is -(3x-1)/(x^2)

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simplify (-3x^2-5x+2)/(x^3+2x^2)

simplify

\frac{- 3 x ^{2} - 5 x + 2}{x ^{3} + 2 x ^{2}}

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

Solution steps

\frac{- 3 x ^{2} - 5 x + 2}{x ^{3} + 2 x ^{2}}

Factor

- 3 x^{2} - 5 x + 2 : - (3 x - 1) (x + 2)

= \frac{- ( 3 x - 1 ) ( x + 2 )}{x ^{3} + 2 x ^{2}}

Factor

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

= \frac{- ( 3 x - 1 ) ( x + 2 )}{x ^{2} ( x + 2 )}

Cancel the common factor:

x + 2

= \frac{- ( 3 x - 1 )}{x ^{2}}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

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

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

(2 p^{2} - 3 t^{3}) (2 p^{2} - 2 t^{3})

(x) (x - 5) (2 x + 3)

\frac{8 x}{4 x}

\frac{1 1 ^{4} + 10 0 ^{4} + 11 1 ^{4}}{2}

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