What is expand (6+2cos(θ))^2 ?

The solution to expand (6+2cos(θ))^2 is 36+24cos(θ)+4cos^2(θ)

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expand (6+2cos(θ))^2

expand

(6 + 2 cos (θ))^{2}

36 + 24 cos (θ) + 4 cos^{2} (θ)

Solution steps

(6 + 2 cos (θ))^{2}

Apply Perfect Square Formula:

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

(6 + 2 cos (θ))^{2} = 6^{2} + 2 \cdot 6 \cdot 2 cos (θ) + (2 cos (θ))^{2}

= 6^{2} + 2 \cdot 6 \cdot 2 cos (θ) + (2 cos (θ))^{2}

Simplify

6^{2} + 2 \cdot 6 \cdot 2 cos (θ) + (2 cos (θ))^{2} : 36 + 24 cos (θ) + 4 cos^{2} (θ)

= 36 + 24 cos (θ) + 4 cos^{2} (θ)

2 (1 + ln (2))

\frac{6}{( x - 1 ) ^{4}}

(- t sin (t) + cos (t))^{2}

(5 x^{2} - 10)^{3} x d x

(x - \frac{1}{3}) (x + \frac{1}{3})

What is expand (6+2cos(θ))^2 ?
The solution to expand (6+2cos(θ))^2 is 36+24cos(θ)+4cos^2(θ)