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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{2}{2} = 1

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

(- 30, 30) y (20, - 20)

(3 e^{x}) (24 x^{7} - 18 x)

(8 x - 3) 3 e - x + 3

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

\frac{k}{( s ^{2} + k ^{2} ) ( s - 2 )}

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