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Popular >

expand (x-e^{-x}+xe^{-x})/(x^2(x+100)^2)

Solution

expand

\frac{x - e ^{- x} + x e ^{- x}}{x ^{2} ( x + 100 ) ^{2}}

Solution

\frac{x - e ^{- x} + e ^{- x} x}{x ^{4} + 200 x ^{3} + 10000 x ^{2}}

Solution steps

\frac{x - e ^{- x} + x e ^{- x}}{x ^{2} ( x + 100 ) ^{2}}

(x + 100)^{2} = x^{2} + 200 x + 10000

= \frac{x - e ^{- x} + e ^{- x} x}{x ^{2} ( x ^{2} + 200 x + 10000 )}

Expand

x^{2} (x^{2} + 200 x + 10000) : x^{4} + 200 x^{3} + 10000 x^{2}

= \frac{x - e ^{- x} + e ^{- x} x}{x ^{4} + 200 x ^{3} + 10000 x ^{2}}

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Frequently Asked Questions (FAQ)

What is expand (x-e^{-x}+xe^{-x})/(x^2(x+100)^2) ?
The solution to expand (x-e^{-x}+xe^{-x})/(x^2(x+100)^2) is (x-e^{-x}+e^{-x}x)/(x^4+200x^3+10000x^2)