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

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

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

expand

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

2 e^{2 x} x^{2} + 2 e^{2 x} x

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

a = 2 x e^{2 x}, b = x, c = 1

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

= 2 e^{2 x} xx + 2 \cdot 1 \cdot e^{2 x} x

Simplify

2 e^{2 x} xx + 2 \cdot 1 \cdot e^{2 x} x : 2 e^{2 x} x^{2} + 2 e^{2 x} x

= 2 e^{2 x} x^{2} + 2 e^{2 x} x

3 (5 - 2)

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

\frac{1 - cos ( x )}{x ( 1 + x )}

2 (11 + 3)

(3 x - 4 y) d e (5 x + 2 y)

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