What is expand x(x^4e^{9x}+3) ?

The solution to expand x(x^4e^{9x}+3) is e^{9x}x^5+3x

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expand x(x^4e^{9x}+3)

expand

x (x^{4} e^{9 x} + 3)

e^{9 x} x^{5} + 3 x

Solution steps

x (x^{4} e^{9 x} + 3)

= x (e^{9 x} x^{4} + 3)

Apply the distributive law:

a (b + c) = ab + a c

a = x, b = x^{4} e^{9 x}, c = 3

= x x^{4} e^{9 x} + x \cdot 3

= e^{9 x} x^{4} x + 3 x

e^{9 x} x^{4} x = e^{9 x} x^{5}

= e^{9 x} x^{5} + 3 x

x^{2} (- 5, - 1)

\frac{d}{d x} ((x - 1) \cdot (x + 1)) - \frac{2}{x ^{3}}

285.2

sin (2) (x - π)

(x + 25)^{2}

What is expand x(x^4e^{9x}+3) ?
The solution to expand x(x^4e^{9x}+3) is e^{9x}x^5+3x