What is expand e^x(5x^2+3x+1) ?

The solution to expand e^x(5x^2+3x+1) is 5e^xx^2+3e^xx+e^x

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expand e^x(5x^2+3x+1)

expand

e^{x} (5 x^{2} + 3 x + 1)

5 e^{x} x^{2} + 3 e^{x} x + e^{x}

Solution steps

e^{x} (5 x^{2} + 3 x + 1)

Distribute parentheses

= e^{x} \cdot 5 x^{2} + e^{x} \cdot 3 x + e^{x} \cdot 1

= 5 e^{x} x^{2} + 3 e^{x} x + 1 \cdot e^{x}

Multiply:

1 \cdot e^{x} = e^{x}

= 5 e^{x} x^{2} + 3 e^{x} x + e^{x}

a s^{2} (s^{2} + 4) + b s (s^{2} + 4) + c (s^{2} + 4) + s^{3} (d s + e)

((x^{2} + 1) d y - (x y - 3 x) d x = 0) \cdot (- 1)

\frac{x ^{2} + 9 x + 24}{( x + 4 ) ^{2} ( x + 3 )}

(1 + sin (x)) sin (x)

What is expand e^x(5x^2+3x+1) ?
The solution to expand e^x(5x^2+3x+1) is 5e^xx^2+3e^xx+e^x