What is expand ln(x)*(x-ln(x)) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln(x)*(x-ln(x))

expand

ln (x) \cdot (x - ln (x))

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

Solution steps

ln (x) (x - ln (x))

Apply the distributive law:

a (b - c) = ab - a c

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

= ln (x) x - ln (x) ln (x)

= x ln (x) - ln (x) ln (x)

ln (x) ln (x) = ln^{2} (x)

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

(a a - b b) (a b + b b)

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

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

(2 cos (A) + 1) (2 cos (A) - 1) (2 cos (2 A) - 1)

(t - 3) cos (t - 3)

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