What is expand-(35(-e^{1/x}-2e^{1/x}x))/(x^4) ?

The solution to expand-(35(-e^{1/x}-2e^{1/x}x))/(x^4) is (35e^{1/x})/(x^4)+(70e^{1/x})/(x^3)

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expand-(35(-e^{1/x}-2e^{1/x}x))/(x^4)

expand

- \frac{35 ( - e ^{\frac{1}{x}} - 2 e ^{\frac{1}{x}} x )}{x ^{4}}

\frac{35 e ^{\frac{1}{x}}}{x ^{4}} + \frac{70 e ^{\frac{1}{x}}}{x ^{3}}

Solution steps

- \frac{35 ( - e ^{\frac{1}{x}} - 2 e ^{\frac{1}{x}} x )}{x ^{4}}

Expand

35 (- e^{\frac{1}{x}} - 2 e^{\frac{1}{x}} x) : - 35 e^{\frac{1}{x}} - 70 e^{\frac{1}{x}} x

= - \frac{- 70 e ^{\frac{1}{x}} x - 35 e ^{\frac{1}{x}}}{x ^{4}}

Apply the fraction rule:

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

\frac{- 35 e ^{\frac{1}{x}} - 70 e ^{\frac{1}{x}} x}{x ^{4}} = - (- \frac{35 e ^{\frac{1}{x}}}{x ^{4}}) - (- \frac{70 e ^{\frac{1}{x}} x}{x ^{4}})

= - (- \frac{35 e ^{\frac{1}{x}}}{x ^{4}}) - (- \frac{70 e ^{\frac{1}{x}} x}{x ^{4}})

Apply rule

- (- a) = a

= \frac{35 e ^{\frac{1}{x}}}{x ^{4}} + \frac{70 e ^{\frac{1}{x}} x}{x ^{4}}

Cancel

\frac{70 e ^{\frac{1}{x}} x}{x ^{4}} : \frac{70 e ^{\frac{1}{x}}}{x ^{3}}

= \frac{35 e ^{\frac{1}{x}}}{x ^{4}} + \frac{70 e ^{\frac{1}{x}}}{x ^{3}}

\frac{31 ( 6.26 s + 77.22 )}{s ^{2} ( s + 143 ) ( 0.155 s + 1 )}

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

\frac{1}{3} (13.9 ln (13.9) - 13.9)

(x^{2} + y^{2}) \frac{d y}{d x}

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What is expand-(35(-e^{1/x}-2e^{1/x}x))/(x^4) ?
The solution to expand-(35(-e^{1/x}-2e^{1/x}x))/(x^4) is (35e^{1/x})/(x^4)+(70e^{1/x})/(x^3)