What is expand (ln(x))(x^3-16) ?

The solution to expand (ln(x))(x^3-16) is x^3ln(x)-16ln(x)

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expand (ln(x))(x^3-16)

expand

(ln (x)) (x^{3} - 16)

x^{3} ln (x) - 16 ln (x)

Solution steps

(ln (x)) (x^{3} - 16)

Apply the distributive law:

a (b - c) = ab - a c

a = (ln (x)), b = x^{3}, c = 16

= (ln (x)) x^{3} - (ln (x)) \cdot 16

= x^{3} (ln (x)) - 16 (ln (x))

Remove parentheses:

(a) = a

= x^{3} ln (x) - 16 ln (x)

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What is expand (ln(x))(x^3-16) ?
The solution to expand (ln(x))(x^3-16) is x^3ln(x)-16ln(x)