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

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

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expand ln(x)(ln(x)+2)

expand

ln (x) (ln (x) + 2)

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

Solution steps

ln (x) (ln (x) + 2)

Apply the distributive law:

a (b + c) = ab + a c

a = ln (x), b = ln (x), c = 2

= ln (x) ln (x) + ln (x) \cdot 2

= ln (x) ln (x) + 2 ln (x)

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

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

(x - 2) e^{\frac{9}{x}}

\frac{( 3 y - 5 ) ^{2} y ^{2}}{2}

(\frac{( n ^{2} + n )}{2})^{2}

(t + 3) (- 3 t^{2})

- 2 (e^{x} cos (x) - e^{x} sin (x))

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