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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

= x x^{3} e^{5 x} + x \cdot 5

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

e^{5 x} x^{3} x = e^{5 x} x^{4}

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

lo g_{10} (a^{3} b)

(x + Δ x - 2) (x - 2) \cdot (x - 2 + x + Δ x - 2)

(- 1, - 1 + π) (x - 0, y + \frac{π}{2})

(u + i v)^{3}

\frac{1}{1 - 4 x}

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