What is expand (x2^{-x-1}+4^{-x-1})/(x(x+1)) ?

The solution to expand (x2^{-x-1}+4^{-x-1})/(x(x+1)) is (2^{-x-1}x+4^{-x-1})/(x^2+x)

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expand (x2^{-x-1}+4^{-x-1})/(x(x+1))

expand

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

\frac{2 ^{- x - 1} x + 4 ^{- x - 1}}{x ^{2} + x}

Solution steps

\frac{x \cdot 2 ^{- x - 1} + 4 ^{- x - 1}}{x ( x + 1 )}

Expand

x (x + 1) : x^{2} + x

= \frac{2 ^{- x - 1} x + 4 ^{- x - 1}}{x ^{2} + x}

\frac{2 ( π ^{3} + 3 π ^{2} )}{3 π}

\frac{x - 1}{( x + 3 ) ( x - 6 )}

\frac{y x ^{2} - a}{( x + 2 y ) x ^{2}}

- \frac{2 ( - 3 x ^{2} - 5 )}{( - 5 + x ^{2} ) ^{3}}

(2 - cos (θ))^{2}

What is expand (x2^{-x-1}+4^{-x-1})/(x(x+1)) ?
The solution to expand (x2^{-x-1}+4^{-x-1})/(x(x+1)) is (2^{-x-1}x+4^{-x-1})/(x^2+x)