What is expand 1/6 (3ln|x|-4x^3) ?

The solution to expand 1/6 (3ln|x|-4x^3) is 1/2 ln|x|-(2x^3)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 1/6 (3ln|x|-4x^3)

expand

\frac{1}{6} (3 ln ∣ x ∣ - 4 x^{3})

\frac{1}{2} ln ∣ x ∣ - \frac{2 x ^{3}}{3}

Solution steps

\frac{1}{6} (3 ln ∣ x ∣ - 4 x^{3})

Apply the distributive law:

a (b - c) = ab - a c

a = \frac{1}{6}, b = 3 ln ∣ x ∣, c = 4 x^{3}

= \frac{1}{6} \cdot 3 ln ∣ x ∣ - \frac{1}{6} \cdot 4 x^{3}

= 3 \cdot \frac{1}{6} ln ∣ x ∣ - 4 \cdot \frac{1}{6} x^{3}

Simplify

3 \cdot \frac{1}{6} ln ∣ x ∣ - 4 \cdot \frac{1}{6} x^{3} : \frac{1}{2} ln ∣ x ∣ - \frac{2 x ^{3}}{3}

= \frac{1}{2} ln ∣ x ∣ - \frac{2 x ^{3}}{3}

(x - 4 - x) \cdot (x + 4 - x)

e^{4 t} \cdot (3 e^{- 4 t} + 2 e^{- 6 t})

\frac{d}{d t} ((x) (k (a - x) (b - x)))

2 (4 + 510)

What is expand 1/6 (3ln|x|-4x^3) ?
The solution to expand 1/6 (3ln|x|-4x^3) is 1/2 ln|x|-(2x^3)/3