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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = (ln (x)), b = - x^{3}, c = 3

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

Apply minus-plus rules

+ (- a) = - a

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

Remove parentheses:

(a) = a

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

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

2 (x + 5 = - 8)

- 2 (y + 2 = - 2 (9 y - 1) + 6 y)

(1 - \frac{y ^{2}}{4}) \cdot 9

\frac{3 s ^{2} + 14 s + 26}{( s + 1 ) ( s ^{2} + 4 s + 8 )}

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