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

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

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

expand

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

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

Solution steps

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

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

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

Multiply:

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

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

\frac{2}{5} y - \frac{3}{10} y

(5 i, 3 j, 2 k) (- 4 i, - 1 j, - 5 k)

\frac{1}{( s + 2 ) ( rcs + 1 )}

\frac{64 x ^{2} - 80 x y + 25 y ^{2}}{( - 10 x + 10 y ) ( - 4 x + y )}

- 1512

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