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

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

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

expand

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

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

Solution steps

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

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

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

Multiply:

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

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

\frac{( x - 3 ) ^{5}}{6}

(a + \frac{2}{3} b x)^{3}

\frac{( x - 2 ) ^{2}}{4}

(1 + sin (x))^{(2)} + (ln (x))^{(2 x)}

3 \cdot 5 \cdot (2 \cdot 2 - 7)

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