What is expand (3+2cos(x))^2 ?

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

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expand (3+2cos(x))^2

expand

(3 + 2 cos (x))^{2}

9 + 12 cos (x) + 4 cos^{2} (x)

Solution steps

(3 + 2 cos (x))^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 9 + 12 cos (x) + 4 cos^{2} (x)

(1 - e^{- 2 π s}) \cdot (\frac{A}{s} + \frac{B s + C}{s ^{2} + 1})

(\frac{x}{4} - \frac{1}{3}) (\frac{x}{4} + \frac{1}{3})

cos^{3} (y) (2 x sin (y) - cos^{3} (y))

(- 2 5 h + 9 + 6) 5 h + 9

(25 - 3)^{2}

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