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

The solution to expand ln(x)(x^2+1)^2 is x^4ln(x)+2x^2ln(x)+ln(x)

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

expand

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

x^{4} ln (x) + 2 x^{2} ln (x) + ln (x)

Solution steps

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

(x^{2} + 1)^{2} = x^{4} + 2 x^{2} + 1

= ln (x) (x^{4} + 2 x^{2} + 1)

Distribute parentheses

= ln (x) x^{4} + ln (x) \cdot 2 x^{2} + ln (x) \cdot 1

= x^{4} ln (x) + 2 x^{2} ln (x) + 1 \cdot ln (x)

Multiply:

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

= x^{4} ln (x) + 2 x^{2} ln (x) + ln (x)

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What is expand ln(x)(x^2+1)^2 ?
The solution to expand ln(x)(x^2+1)^2 is x^4ln(x)+2x^2ln(x)+ln(x)