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

The solution to expand (2x-3)(3ln(x)) is 6xln(x)-9ln(x)

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

expand

(2 x - 3) (3 ln (x))

6 x ln (x) - 9 ln (x)

Solution steps

(2 x - 3) (3 ln (x))

Apply the distributive law:

a (b - c) = ab - a c

a = (3 ln (x)), b = 2 x, c = 3

= (3 ln (x)) \cdot 2 x - (3 ln (x)) \cdot 3

= 2 x (3 ln (x)) - 3 (3 ln (x))

Simplify

2 x (3 ln (x)) - 3 (3 ln (x)) : 6 x ln (x) - 9 ln (x)

= 6 x ln (x) - 9 ln (x)

(6 x y + 10 x) d x + (3 x^{2} + 8 y) d y

(y - x \frac{d y}{d x})^{2}

\frac{8 x + 16}{( x - 4 ) ( x + 4 )}

\frac{5 ( 3 - e ^{2 t} ) e ^{- 5 t}}{2}

9 \frac{2}{3} x - 19

What is expand (2x-3)(3ln(x)) ?
The solution to expand (2x-3)(3ln(x)) is 6xln(x)-9ln(x)