What is \sqrt[3]{6-x}-(x+10)/(3(6-x)^{2/3)} ?

The solution to \sqrt[3]{6-x}-(x+10)/(3(6-x)^{2/3)} is (-4x+8)/(3(6-x)^{2/3)}

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simplify \sqrt[3]{6-x}-(x+10)/(3(6-x)^{2/3)}

simplify

\frac{- 4 x + 8}{3 ( 6 - x ) ^{\frac{2}{3}}}

Solution steps

Apply the fraction rule:

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

Simplify

= \frac{3 ( 6 - x ) - ( x + 10 )}{3 ( 6 - x ) ^{\frac{2}{3}}}

Simplify

3 (6 - x) - (x + 10) : - 4 x + 8

= \frac{- 4 x + 8}{3 ( 6 - x ) ^{\frac{2}{3}}}

\frac{26}{( x + 3 ) ( x ^{2} + 4 )}

\frac{x - 4}{x - 2}

\frac{6 x ^{2} - 10 x + 36}{( x ^{2} + 7 ) ( x - 4 )}

(s + 0.8 - 0.43 i) (s + 0.8) (s + 0.43 i) (s + 0.6)

What is \sqrt[3]{6-x}-(x+10)/(3(6-x)^{2/3)} ?
The solution to \sqrt[3]{6-x}-(x+10)/(3(6-x)^{2/3)} is (-4x+8)/(3(6-x)^{2/3)}