What is expand x(x^3e^{7x}+2) ?

The solution to expand x(x^3e^{7x}+2) is e^{7x}x^4+2x

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expand x(x^3e^{7x}+2)

expand

x (x^{3} e^{7 x} + 2)

e^{7 x} x^{4} + 2 x

Solution steps

x (x^{3} e^{7 x} + 2)

= x (e^{7 x} x^{3} + 2)

Apply the distributive law:

a (b + c) = ab + a c

a = x, b = x^{3} e^{7 x}, c = 2

= x x^{3} e^{7 x} + x \cdot 2

= e^{7 x} x^{3} x + 2 x

e^{7 x} x^{3} x = e^{7 x} x^{4}

= e^{7 x} x^{4} + 2 x

(6 n + 4) (1 + lo g_{10} (n))

sinh (7 t) + (2 t + 1) U (t - 1)

\frac{x ^{4} + 1}{x ( x ^{2} + 1 ) ^{2}}

(x + \frac{5}{x})^{9}

- \frac{3}{14} a (42 a^{3} - 3 a)

What is expand x(x^3e^{7x}+2) ?
The solution to expand x(x^3e^{7x}+2) is e^{7x}x^4+2x