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)

\frac{13 x - 18 y}{6 ( a - b )}

(2 x + 3) d x

(3 x^{4} + \frac{2}{x ^{2}})^{11}

(5 x) \cdot (4 x y - \frac{1}{3})

(1 5^{2} + 3 0^{2} = x^{2}) \cdot 4

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