What is expand (ln(x))(5x^2-3) ?

The solution to expand (ln(x))(5x^2-3) is 5x^2ln(x)-3ln(x)

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expand (ln(x))(5x^2-3)

expand

(ln (x)) (5 x^{2} - 3)

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

Solution steps

(ln (x)) (5 x^{2} - 3)

Apply the distributive law:

a (b - c) = ab - a c

a = (ln (x)), b = 5 x^{2}, c = 3

= (ln (x)) \cdot 5 x^{2} - (ln (x)) \cdot 3

= 5 x^{2} (ln (x)) - 3 (ln (x))

Remove parentheses:

(a) = a

= 5 x^{2} ln (x) - 3 ln (x)

\frac{x ^{5} - 3 x ^{2} + 12 x - 1}{x ^{3} ( x ^{2} + x + 1 ) ( x + 2 ) ^{3}}

(- 2 sin (x) - sin (2 x) \cdot 2)^{2}

(x + 1 + 2 x) (3 x + 1 - x)

5 (3 - x) e^{x}

(\frac{5}{x})^{2}

What is expand (ln(x))(5x^2-3) ?
The solution to expand (ln(x))(5x^2-3) is 5x^2ln(x)-3ln(x)