What is expand (x^2+3x-2)*(ln(x)) ?

The solution to expand (x^2+3x-2)*(ln(x)) is x^2ln(x)+3xln(x)-2ln(x)

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expand (x^2+3x-2)*(ln(x))

expand

(x^{2} + 3 x - 2) \cdot (ln (x))

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

Solution steps

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

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

Remove parentheses:

(a) = a

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

M (- 3, - 1)

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

(4 x) \cdot (x^{2} + 2 x δ + δ^{2} - 4)

(2 x + y + 3) \cdot ln (2 x + y + 3)

- \frac{1}{s ( s ^{2} + 9 )}

What is expand (x^2+3x-2)*(ln(x)) ?
The solution to expand (x^2+3x-2)*(ln(x)) is x^2ln(x)+3xln(x)-2ln(x)