What is ((x+5))/5-((x-8x^2))/x ?

The solution to ((x+5))/5-((x-8x^2))/x is (41x)/5

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simplify ((x+5))/5-((x-8x^2))/x

simplify

\frac{( x + 5 )}{5} - \frac{( x - 8 x ^{2} )}{x}

\frac{41 x}{5}

Solution steps

\frac{x + 5}{5} - \frac{x - 8 x ^{2}}{x}

Least Common Multiplier of

5, x : 5 x

Adjust Fractions based on the LCM

= \frac{( x + 5 ) x}{5 x} - \frac{( x - 8 x ^{2} ) \cdot 5}{5 x}

Apply the fraction rule:

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

= \frac{( x + 5 ) x - ( x - 8 x ^{2} ) \cdot 5}{5 x}

Simplify

(x + 5) x - (x - 8 x^{2}) \cdot 5 : 41 x^{2}

= \frac{41 x ^{2}}{5 x}

Cancel

\frac{41 x ^{2}}{5 x} : \frac{41 x}{5}

= \frac{41 x}{5}

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What is ((x+5))/5-((x-8x^2))/x ?
The solution to ((x+5))/5-((x-8x^2))/x is (41x)/5