What is expand (3+3sin(x))^3 ?

The solution to expand (3+3sin(x))^3 is 27+81sin(x)+81sin^2(x)+27sin^3(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3+3sin(x))^3

expand

(3 + 3 sin (x))^{3}

27 + 81 sin (x) + 81 sin^{2} (x) + 27 sin^{3} (x)

Solution steps

(3 + 3 sin (x))^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(3 + 3 sin (x))^{3} = 3^{3} + 3 \cdot 3^{2} \cdot 3 sin (x) + 3 \cdot 3 (3 sin (x))^{2} + (3 sin (x))^{3}

= 3^{3} + 3 \cdot 3^{2} \cdot 3 sin (x) + 3 \cdot 3 (3 sin (x))^{2} + (3 sin (x))^{3}

Simplify

3^{3} + 3 \cdot 3^{2} \cdot 3 sin (x) + 3 \cdot 3 (3 sin (x))^{2} + (3 sin (x))^{3} : 27 + 81 sin (x) + 81 sin^{2} (x) + 27 sin^{3} (x)

= 27 + 81 sin (x) + 81 sin^{2} (x) + 27 sin^{3} (x)

L^{8} (1 + 3 x) (2 - 6 x^{2} + x^{3})

\frac{2}{s ( s ^{2} + 4 )}

\frac{1}{( s ^{2} + 4 ) s}

(1 - 2 i)^{5}

x (x^{5} e^{13 x} + 2)

What is expand (3+3sin(x))^3 ?
The solution to expand (3+3sin(x))^3 is 27+81sin(x)+81sin^2(x)+27sin^3(x)