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{x ^{2} - 4 x}{( x - 2 ) ^{2}}

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

(2 + 2 i)^{5}

x^{\frac{4}{5}} (x - 6)^{2}

\frac{s}{( s ^{2} + a ^{2} ) ^{2}}

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