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

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

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

expand

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

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

Solution steps

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

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

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

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

Distribute parentheses

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

= 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)

(1.5)^{3}

\frac{3 ( x + 1 )}{2}

2 (x + h) + 3 - 2 x + 3

(1, 2, - 3) X (- 1, 1, 1)

(1 2_{2} - 1 5_{1})^{2}

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