What is expand (4-2cos(θ))^2 ?

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

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expand (4-2cos(θ))^2

expand

(4 - 2 cos (θ))^{2}

16 - 16 cos (θ) + 4 cos^{2} (θ)

Solution steps

(4 - 2 cos (θ))^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 16 - 16 cos (θ) + 4 cos^{2} (θ)

(1 - sin (t))^{2}

\frac{8 x ^{2} + 15 x + 18}{( x + 3 ) ( x ^{2} + 6 )}

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

\frac{18 ( s + 6 )}{( s ^{2} + 6 s + 18 ) ( s ^{2} - 6 s + 18 )}

(17 + tan (x)) (17 - tan (x)) + sec^{2} (x)

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