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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

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

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

(2 b - a) (b + 3 a)

\frac{d ^{2} y}{d ^{2} x} (x + sin (y) = y + 3)

\frac{s ( s + 0.1 )}{( s + 1 ) ^{2} ( s + 10 )}

(e^{2 x} 0.2 sin (4 x) + cos (4 x) \cdot 4 e^{2 x})^{2}

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