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

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

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

expand

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

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

Solution steps

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

= 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

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

tan (θ) (1 - cot^{2} (θ)) + cot (θ) (1 - tan^{2} (θ))

x (x^{3} e^{3 x} + 2)

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