What is expand (e^{2x}(2x+1))/((x+1)^2) ?

The solution to expand (e^{2x}(2x+1))/((x+1)^2) is (2e^{2x}x+e^{2x})/(x^2+2x+1)

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expand (e^{2x}(2x+1))/((x+1)^2)

expand

\frac{e ^{2 x} ( 2 x + 1 )}{( x + 1 ) ^{2}}

\frac{2 e ^{2 x} x + e ^{2 x}}{x ^{2} + 2 x + 1}

Solution steps

\frac{e ^{2 x} ( 2 x + 1 )}{( x + 1 ) ^{2}}

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

= \frac{e ^{2 x} ( 2 x + 1 )}{x ^{2} + 2 x + 1}

Expand

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

= \frac{2 e ^{2 x} x + e ^{2 x}}{x ^{2} + 2 x + 1}

\frac{( 2 + x ) ( - 4 + x )}{- 9 - x}

e^{3.0 E 22 (x - 162)}

\frac{d}{d v} ((s) (4 t - 1))

\frac{x ^{2} ( 49 - x ^{2} ) 3}{2 d x}

2 (x - 1) + 2 (x - 2 = 5)

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