What is expand (3+3cos(θ))^2 ?

The solution to expand (3+3cos(θ))^2 is 9+18cos(θ)+9cos^2(θ)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3+3cos(θ))^2

expand

(3 + 3 cos (θ))^{2}

9 + 18 cos (θ) + 9 cos^{2} (θ)

Solution steps

(3 + 3 cos (θ))^{2}

Apply Perfect Square Formula:

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

(3 + 3 cos (θ))^{2} = 3^{2} + 2 \cdot 3 \cdot 3 cos (θ) + (3 cos (θ))^{2}

= 3^{2} + 2 \cdot 3 \cdot 3 cos (θ) + (3 cos (θ))^{2}

Simplify

3^{2} + 2 \cdot 3 \cdot 3 cos (θ) + (3 cos (θ))^{2} : 9 + 18 cos (θ) + 9 cos^{2} (θ)

= 9 + 18 cos (θ) + 9 cos^{2} (θ)

(1 + e^{- x})^{2}

\frac{( 1 - sin ( x ) + cos ( x ) ) ^{2}}{1 - sin ( x )} - 2

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

(1 + e^{- 2 s})^{2}

\frac{6 x ^{3} + 14 x ^{2} + x - 12}{x ( x - 1 ) ( x + 2 ) ^{2}}

What is expand (3+3cos(θ))^2 ?
The solution to expand (3+3cos(θ))^2 is 9+18cos(θ)+9cos^2(θ)