What is expand (1+6x)^4(6)dx ?

The solution to expand (1+6x)^4(6)dx is 6dx+144xdx+1296x^2dx+5184x^3dx+7776x^4dx

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1+6x)^4(6)dx

expand

(1 + 6 x)^{4} (6) d x

6 d x + 144 x d x + 1296 x^{2} d x + 5184 x^{3} d x + 7776 x^{4} d x

Solution steps

(1 + 6 x)^{4} (6) d x

Remove parentheses:

(a) = a

= (1 + 6 x)^{4} \cdot 6 d x

(1 + 6 x)^{4} = 1 + 24 x + 216 x^{2} + 864 x^{3} + 1296 x^{4}

= 6 (1296 x^{4} + 864 x^{3} + 216 x^{2} + 24 x + 1) d x

= 6 (1 + 24 x + 216 x^{2} + 864 x^{3} + 1296 x^{4}) d x

Distribute parentheses

= 6 d x \cdot 1 + 6 d x \cdot 24 x + 6 d x \cdot 216 x^{2} + 6 d x \cdot 864 x^{3} + 6 d x \cdot 1296 x^{4}

= 6 \cdot 1 \cdot d x + 6 \cdot 24 x d x + 6 \cdot 216 x^{2} d x + 6 \cdot 864 x^{3} d x + 6 \cdot 1296 x^{4} d x

Simplify

6 \cdot 1 \cdot d x + 6 \cdot 24 x d x + 6 \cdot 216 x^{2} d x + 6 \cdot 864 x^{3} d x + 6 \cdot 1296 x^{4} d x : 6 d x + 144 x d x + 1296 x^{2} d x + 5184 x^{3} d x + 7776 x^{4} d x

= 6 d x + 144 x d x + 1296 x^{2} d x + 5184 x^{3} d x + 7776 x^{4} d x

\frac{1}{( n - 1 ) ^{3}}

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

rec t (3 \cdot t + 1)

5 (\frac{3}{5} n + 2 - n = - 6 n)

35 \cdot (- 70 e^{- 1000 x} + 70)

What is expand (1+6x)^4(6)dx ?
The solution to expand (1+6x)^4(6)dx is 6dx+144xdx+1296x^2dx+5184x^3dx+7776x^4dx