What is expand x(ln(x)-1)^2 ?

The solution to expand x(ln(x)-1)^2 is xln^2(x)-2xln(x)+x

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expand x(ln(x)-1)^2

expand

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

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

Solution steps

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

(ln (x) - 1)^{2} = ln^{2} (x) - 2 ln (x) + 1

= x (ln^{2} (x) - 2 ln (x) + 1)

Distribute parentheses

= x ln^{2} (x) + x (- 2 ln (x)) + x \cdot 1

Apply minus-plus rules

+ (- a) = - a

= x ln^{2} (x) - 2 x ln (x) + 1 \cdot x

Multiply:

1 \cdot x = x

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

\frac{d}{d x} ((x - 1) e^{x}) + 3 ln (x) + 2

2 (\frac{8 π ^{3}}{3} + 2 x)

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

(x + h)^{2} - 1

\frac{d x}{y x} (x^{2} + y^{2} = 1)

What is expand x(ln(x)-1)^2 ?
The solution to expand x(ln(x)-1)^2 is xln^2(x)-2xln(x)+x