What is expand (3-3cos(θ))^2 ?

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

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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 + 3 i)^{10}

\frac{5}{( 4 + x ) ^{3}}

(\frac{e ^{x} + e ^{- x}}{2})^{2}

(cos (θ) + i sin (θ))^{4}

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

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