What is (c+8/(c^2))/(1+2/c) ?

The solution to (c+8/(c^2))/(1+2/c) is (c^2-2c+4)/c

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simplify (c+8/(c^2))/(1+2/c)

simplify

\frac{c + \frac{8}{c ^{2}}}{1 + \frac{2}{c}}

\frac{c ^{2} - 2 c + 4}{c}

Solution steps

\frac{c + \frac{8}{c ^{2}}}{1 + \frac{2}{c}}

Join

c + \frac{8}{c ^{2}} : \frac{c ^{3} + 8}{c ^{2}}

= \frac{\frac{c ^{3} + 8}{c ^{2}}}{1 + \frac{2}{c}}

Join

1 + \frac{2}{c} : \frac{c + 2}{c}

= \frac{\frac{c ^{3} + 8}{c ^{2}}}{\frac{c + 2}{c}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( c ^{3} + 8 ) c}{c ^{2} ( c + 2 )}

Cancel

\frac{( c ^{3} + 8 ) c}{c ^{2} ( c + 2 )} : \frac{c ^{2} - 2 c + 4}{c}

= \frac{c ^{2} - 2 c + 4}{c}

\frac{( 3 x ) ^{- 3} y ^{4}}{- x ^{2} y ^{- 6}}

15 x^{2} - 13 x + 7 = 0

∣ x - 8 ∣ = ∣ 3 x + 9 ∣

\frac{1}{3} + \frac{1}{9}

4 x^{2} + 8 x = 0

What is (c+8/(c^2))/(1+2/c) ?
The solution to (c+8/(c^2))/(1+2/c) is (c^2-2c+4)/c