What is expand x(x^5e^{13x}+2) ?

The solution to expand x(x^5e^{13x}+2) is e^{13x}x^6+2x

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expand x(x^5e^{13x}+2)

expand

x (x^{5} e^{13 x} + 2)

e^{13 x} x^{6} + 2 x

Solution steps

x (x^{5} e^{13 x} + 2)

= x (e^{13 x} x^{5} + 2)

Apply the distributive law:

a (b + c) = ab + a c

a = x, b = x^{5} e^{13 x}, c = 2

= x x^{5} e^{13 x} + x \cdot 2

= e^{13 x} x^{5} x + 2 x

e^{13 x} x^{5} x = e^{13 x} x^{6}

= e^{13 x} x^{6} + 2 x

\frac{a ( r ^{n} - 1 )}{r - 1}

(2 x y + i y)^{2}

2 + \frac{2 ( 8 + π )}{16}

\frac{3}{2 ( 3 a - 5 )}

(2 x + \frac{3}{y}) (2 x - \frac{3}{y})

What is expand x(x^5e^{13x}+2) ?
The solution to expand x(x^5e^{13x}+2) is e^{13x}x^6+2x