What is expand (4-4cos(θ))^2 ?

The solution to expand (4-4cos(θ))^2 is 16-32cos(θ)+16cos^2(θ)

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expand (4-4cos(θ))^2

expand

(4 - 4 cos (θ))^{2}

16 - 32 cos (θ) + 16 cos^{2} (θ)

Solution steps

(4 - 4 cos (θ))^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

4^{2} - 2 \cdot 4 \cdot 4 cos (θ) + (4 cos (θ))^{2} : 16 - 32 cos (θ) + 16 cos^{2} (θ)

= 16 - 32 cos (θ) + 16 cos^{2} (θ)

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What is expand (4-4cos(θ))^2 ?
The solution to expand (4-4cos(θ))^2 is 16-32cos(θ)+16cos^2(θ)