What is expand x(x^4e^{9x}+5) ?

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

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expand x(x^4e^{9x}+5)

expand

x (x^{4} e^{9 x} + 5)

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

Solution steps

x (x^{4} e^{9 x} + 5)

= x (e^{9 x} x^{4} + 5)

Apply the distributive law:

a (b + c) = ab + a c

a = x, b = x^{4} e^{9 x}, c = 5

= x x^{4} e^{9 x} + x \cdot 5

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

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

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

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