What is (-4k^4+20k^3)/(8k^4+4k^3) ?

The solution to (-4k^4+20k^3)/(8k^4+4k^3) is (-k+5)/(2k+1)

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simplify (-4k^4+20k^3)/(8k^4+4k^3)

simplify

\frac{- 4 k ^{4} + 20 k ^{3}}{8 k ^{4} + 4 k ^{3}}

\frac{- k + 5}{2 k + 1}

Solution steps

\frac{- 4 k ^{4} + 20 k ^{3}}{8 k ^{4} + 4 k ^{3}}

Factor

- 4 k^{4} + 20 k^{3} : 4 k^{3} (- k + 5)

= \frac{4 k ^{3} ( - k + 5 )}{8 k ^{4} + 4 k ^{3}}

Factor

8 k^{4} + 4 k^{3} : 4 k^{3} (2 k + 1)

= \frac{4 k ^{3} ( - k + 5 )}{4 k ^{3} ( 2 k + 1 )}

Cancel the common factor:

4

= \frac{k ^{3} ( - k + 5 )}{k ^{3} ( 2 k + 1 )}

Cancel the common factor:

k^{3}

= \frac{- k + 5}{2 k + 1}

2 - \frac{x}{3} = 8

\frac{7 x ^{6} y ^{6}}{21 x ^{2} y ^{2}}

- 8 - 5 (10 t + 1) \geq 4 t - 10 - 9 t

8 \cdot 12

What is (-4k^4+20k^3)/(8k^4+4k^3) ?
The solution to (-4k^4+20k^3)/(8k^4+4k^3) is (-k+5)/(2k+1)