What is expand x(x^3e^{3x}+4) ?

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

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expand x(x^3e^{3x}+4)

expand

x (x^{3} e^{3 x} + 4)

e^{3 x} x^{4} + 4 x

Solution steps

x (x^{3} e^{3 x} + 4)

= x (e^{3 x} x^{3} + 4)

Apply the distributive law:

a (b + c) = ab + a c

a = x, b = x^{3} e^{3 x}, c = 4

= x x^{3} e^{3 x} + x \cdot 4

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

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

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

\frac{2 s + 3}{( s + 1 ) ( s - 1 ) ( 2 s + 1 ) ( s + 2 )}

(x + \frac{2}{5}) (x - \frac{1}{5})

t (x) x^{^{''}} + (4 t (x) - 6) x^{^{'}} + 4 x

(x - 3) (x - \frac{1}{2})

5 \cdot (x + 4 y = 14)

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