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

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

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

expand

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

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

Solution steps

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

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

Expand

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

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

Expand

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

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

f (x^{2} - sin (x)) d x

\frac{( - 4 t ^{4} + 32 t )}{( 4 + t ^{3} ) ^{2}}

4 y^{2} d x - (3 - y ln (y)) d y

10 \cdot (2.54 - (\frac{2.537}{x}) = 25.43)

9800 (220 π - \frac{250}{3})

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