What is expand (x)*(x^5e^{7x}+3) ?

The solution to expand (x)*(x^5e^{7x}+3) is e^{7x}x^6+3x

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expand (x)*(x^5e^{7x}+3)

expand

(x) \cdot (x^{5} e^{7 x} + 3)

e^{7 x} x^{6} + 3 x

Solution steps

(x) (x^{5} e^{7 x} + 3)

= (x) (e^{7 x} x^{5} + 3)

Apply the distributive law:

a (b + c) = ab + a c

a = (x), b = x^{5} e^{7 x}, c = 3

= (x) x^{5} e^{7 x} + (x) \cdot 3

= e^{7 x} x^{5} (x) + 3 (x)

Simplify

e^{7 x} x^{5} (x) + 3 (x) : e^{7 x} x^{6} + 3 x

= e^{7 x} x^{6} + 3 x

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What is expand (x)*(x^5e^{7x}+3) ?
The solution to expand (x)*(x^5e^{7x}+3) is e^{7x}x^6+3x