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}

n p + 2 n + 8 p + 16

(\frac{1}{40} + \frac{1}{80})^{- 1}

\frac{8}{x - 3} + \frac{8}{x + 1} < - 3

2 (2 x + 1)^{2} - 2 = 160

x^{2} + 4 x + 21 = 0

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)