What is expand x(x^5e^{13x}+4) ?

The solution to expand x(x^5e^{13x}+4) is e^{13x}x^6+4x

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expand x(x^5e^{13x}+4)

expand

x (x^{5} e^{13 x} + 4)

e^{13 x} x^{6} + 4 x

Solution steps

x (x^{5} e^{13 x} + 4)

= x (e^{13 x} x^{5} + 4)

Apply the distributive law:

a (b + c) = ab + a c

a = x, b = x^{5} e^{13 x}, c = 4

= x x^{5} e^{13 x} + x \cdot 4

= e^{13 x} x^{5} x + 4 x

e^{13 x} x^{5} x = e^{13 x} x^{6}

= e^{13 x} x^{6} + 4 x

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What is expand x(x^5e^{13x}+4) ?
The solution to expand x(x^5e^{13x}+4) is e^{13x}x^6+4x