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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

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

\frac{- 4 - 3 s}{( x + 1 ) ^{2}}

(cos (x) cos (y) - cot (x)) d x - (sin (x) sin (y)) d y

8 (ln (x) + 1)

\frac{5 x}{e ^{x} ( 1 + x )}

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