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

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

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

expand

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

e^{5 x} x^{6} + 3 x

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

e^{5 x} x^{5} x = e^{5 x} x^{6}

= e^{5 x} x^{6} + 3 x

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

(\frac{x}{10} (100 - 5 y)) \cdot y

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

(\frac{2 x}{y} - e^{x - y} + 1) (- \frac{2}{2})

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