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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

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

4 (7 x^{6} ln (x) + x^{6})

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

(4 n^{3} - 6 i^{7})^{2}

\frac{3 ( 67 201 - 1833 )}{512}

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