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

The solution to expand (3x^2+x+1)e^xln(x) is 3e^xx^2ln(x)+e^xxln(x)+e^xln(x)

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

expand

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

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

Solution steps

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

= e^{x} ln (x) (3 x^{2} + x + 1)

Distribute parentheses

= e^{x} ln (x) \cdot 3 x^{2} + e^{x} ln (x) x + e^{x} ln (x) \cdot 1

= 3 e^{x} x^{2} ln (x) + e^{x} x ln (x) + 1 \cdot e^{x} ln (x)

Multiply:

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

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

2 (3 x + 2 y = 8)

(2 x - 1) \cdot (ln (5))

(x + d x - 1)^{2}

\frac{d}{d x} ((c) (3 x^{2} + 60))

(x - 8) d x - d y

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