What is ((-17f^5+6f^4-15f^2))/f ?

The solution to ((-17f^5+6f^4-15f^2))/f is -f(17f^3-6f^2+15)

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simplify ((-17f^5+6f^4-15f^2))/f

simplify

\frac{( - 17 f ^{5} + 6 f ^{4} - 15 f ^{2} )}{f}

- f (17 f^{3} - 6 f^{2} + 15)

Solution steps

\frac{- 17 f ^{5} + 6 f ^{4} - 15 f ^{2}}{f}

Factor out

- 1 : - (17 f^{5} - 6 f^{4} + 15 f^{2})

= \frac{- ( 17 f ^{5} - 6 f ^{4} + 15 f ^{2} )}{f}

Factor

17 f^{5} - 6 f^{4} + 15 f^{2} : f^{2} (17 f^{3} - 6 f^{2} + 15)

= \frac{- f ^{2} ( 17 f ^{3} - 6 f ^{2} + 15 )}{f}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

f^{2} = ff

= \frac{- ff ( 17 f ^{3} - 6 f ^{2} + 15 )}{f}

Cancel the common factor:

f

= - f (17 f^{3} - 6 f^{2} + 15)

\frac{- 5}{( x ^{2} + 6 )}

(- \frac{2}{3} \cdot x + \frac{4}{5} \cdot y + 7)^{2}

54 m^{4} + 27 m^{3} n - 16 m - 8 n

\frac{f ( x ) 2 x}{x + 1}

81 x^{2} - 16 y^{2}

What is ((-17f^5+6f^4-15f^2))/f ?
The solution to ((-17f^5+6f^4-15f^2))/f is -f(17f^3-6f^2+15)