What is expand (5^x(2+x))/(x^3(x+5)) ?

The solution to expand (5^x(2+x))/(x^3(x+5)) is (2*5^x+5^xx)/(x^4+5x^3)

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expand (5^x(2+x))/(x^3(x+5))

expand

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

\frac{2 \cdot 5 ^{x} + 5 ^{x} x}{x ^{4} + 5 x ^{3}}

Solution steps

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

Expand

x^{3} (x + 5) : x^{4} + 5 x^{3}

= \frac{5 ^{x} ( x + 2 )}{x ^{4} + 5 x ^{3}}

Expand

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

= \frac{2 \cdot 5 ^{x} + 5 ^{x} x}{x ^{4} + 5 x ^{3}}

4 (e^{- 2 x} - 2 e^{- 2 x} x)

\frac{1}{2 h ( b + a )}

\frac{( 12 y + 3 x ) ( 28 y + 3 x )}{16}

\frac{1}{( s + 1 ) ( s ^{2} + 2 s + 2 )}

x (y^{2} + y + Δ (y^{2} + y))

What is expand (5^x(2+x))/(x^3(x+5)) ?
The solution to expand (5^x(2+x))/(x^3(x+5)) is (2*5^x+5^xx)/(x^4+5x^3)