What is expand 4(xe^{2x}+e^x) ?

The solution to expand 4(xe^{2x}+e^x) is 4e^{2x}x+4e^x

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expand 4(xe^{2x}+e^x)

expand

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

4 e^{2 x} x + 4 e^{x}

Solution steps

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

= 4 (e^{2 x} x + e^{x})

Apply the distributive law:

a (b + c) = ab + a c

a = 4, b = x e^{2 x}, c = e^{x}

= 4 x e^{2 x} + 4 e^{x}

= 4 e^{2 x} x + 4 e^{x}

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

- \frac{2 x ^{2} + 13 x - 2}{( x ^{2} + 6 ) ( x + 2 )}

(x^{2} + c x + 1) (x^{2} + d x + 1)

8 (5 x + 8 y = - 24)

\frac{x ( 2 x + 3 )}{2 x + 1}

What is expand 4(xe^{2x}+e^x) ?
The solution to expand 4(xe^{2x}+e^x) is 4e^{2x}x+4e^x