What is expand (x-1)3ln(x-1) ?

The solution to expand (x-1)3ln(x-1) is 3xln(x-1)-3ln(x-1)

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expand (x-1)3ln(x-1)

expand

(x - 1) 3 ln (x - 1)

3 x ln (x - 1) - 3 ln (x - 1)

Solution steps

(x - 1) \cdot 3 ln (x - 1)

= 3 ln (x - 1) (x - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = 3 ln (x - 1), b = x, c = 1

= 3 ln (x - 1) x - 3 ln (x - 1) \cdot 1

= 3 x ln (x - 1) - 3 \cdot 1 \cdot ln (x - 1)

Multiply the numbers:

3 \cdot 1 = 3

= 3 x ln (x - 1) - 3 ln (x - 1)

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

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

(2 y y^{'} (x) + 2 y^{'} (x)) (x^{3} + 2 x - 1)

e^{x} (e^{x} - 1)^{2}

\frac{19 ( e ^{2} + 3 )}{3}

What is expand (x-1)3ln(x-1) ?
The solution to expand (x-1)3ln(x-1) is 3xln(x-1)-3ln(x-1)