What is expand (3+2cos(θ))^2 ?

The solution to expand (3+2cos(θ))^2 is 9+12cos(θ)+4cos^2(θ)

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expand (3+2cos(θ))^2

expand

(3 + 2 cos (θ))^{2}

9 + 12 cos (θ) + 4 cos^{2} (θ)

Solution steps

(3 + 2 cos (θ))^{2}

Apply Perfect Square Formula:

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

(3 + 2 cos (θ))^{2} = 3^{2} + 2 \cdot 3 \cdot 2 cos (θ) + (2 cos (θ))^{2}

= 3^{2} + 2 \cdot 3 \cdot 2 cos (θ) + (2 cos (θ))^{2}

Simplify

3^{2} + 2 \cdot 3 \cdot 2 cos (θ) + (2 cos (θ))^{2} : 9 + 12 cos (θ) + 4 cos^{2} (θ)

= 9 + 12 cos (θ) + 4 cos^{2} (θ)

(2 sin (θ) + cos (θ))^{2}

\frac{[ ( k + 1 ) ( 3 k + 4 ) ]}{2}

6 + e^{0.3 x^{2}} \cdot (2 - 1.2 x^{2})

(2 sin (x) + 2 cos (x))^{2}

(2 + 2)^{4}

What is expand (3+2cos(θ))^2 ?
The solution to expand (3+2cos(θ))^2 is 9+12cos(θ)+4cos^2(θ)