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

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

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

expand

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

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

Solution steps

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

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

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

Multiply:

1 \cdot x = x

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

\frac{10 ( 694 - 1 )}{231}

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

(2 x - 2) 2 - x

\frac{1}{( s - 2 ) ( s + 5 )}

(2 + \frac{6}{n} \cdot i)^{2}

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