What is expand (2-2cos(θ))^2 ?

The solution to expand (2-2cos(θ))^2 is 4-8cos(θ)+4cos^2(θ)

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expand (2-2cos(θ))^2

expand

(2 - 2 cos (θ))^{2}

4 - 8 cos (θ) + 4 cos^{2} (θ)

Solution steps

(2 - 2 cos (θ))^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

2^{2} - 2 \cdot 2 \cdot 2 cos (θ) + (2 cos (θ))^{2} : 4 - 8 cos (θ) + 4 cos^{2} (θ)

= 4 - 8 cos (θ) + 4 cos^{2} (θ)

\frac{( n + 1 ) ( 2 n + 1 )}{6 n ^{2}}

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

(1 + i)^{4}

t (e^{t} + e^{4 t})^{2}

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

What is expand (2-2cos(θ))^2 ?
The solution to expand (2-2cos(θ))^2 is 4-8cos(θ)+4cos^2(θ)