展开 ln(x)(ln(x)+2)

解答

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

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

求解步骤

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

使用分配律:

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)

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

e x p an d \frac{( 3 y - 5 ) ^{2} y ^{2}}{2}

e x p an d (\frac{( n ^{2} + n )}{2})^{2}

s im pl i f y (t + 3) (- 3 t^{2})

e x p an d - 2 (e^{x} cos (x) - e^{x} sin (x))