What is expand x^4(e^xx-e^x+c) ?

The solution to expand x^4(e^xx-e^x+c) is e^xx^5-e^xx^4+cx^4

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expand x^4(e^xx-e^x+c)

expand

x^{4} (e^{x} x - e^{x} + c)

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

Solution steps

x^{4} (e^{x} x - e^{x} + c)

Distribute parentheses

= x^{4} e^{x} x + x^{4} (- e^{x}) + x^{4} c

Apply minus-plus rules

+ (- a) = - a

= e^{x} x^{4} x - e^{x} x^{4} + c x^{4}

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

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

\frac{d}{d x} ((x) (6 x + 2)^{3})

- π sin (t) cos (t) (u - 1)

- \frac{3 n ^{2} ( n + 1 ) ^{2}}{2}

π (x^{2} + 6 x + 3)^{2}

\frac{( x + 2 )}{2} + (x + 2)

What is expand x^4(e^xx-e^x+c) ?
The solution to expand x^4(e^xx-e^x+c) is e^xx^5-e^xx^4+cx^4