What is expand (6+4cos(θ))^2 ?

The solution to expand (6+4cos(θ))^2 is 36+48cos(θ)+16cos^2(θ)

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expand (6+4cos(θ))^2

expand

(6 + 4 cos (θ))^{2}

36 + 48 cos (θ) + 16 cos^{2} (θ)

Solution steps

(6 + 4 cos (θ))^{2}

Apply Perfect Square Formula:

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

(6 + 4 cos (θ))^{2} = 6^{2} + 2 \cdot 6 \cdot 4 cos (θ) + (4 cos (θ))^{2}

= 6^{2} + 2 \cdot 6 \cdot 4 cos (θ) + (4 cos (θ))^{2}

Simplify

6^{2} + 2 \cdot 6 \cdot 4 cos (θ) + (4 cos (θ))^{2} : 36 + 48 cos (θ) + 16 cos^{2} (θ)

= 36 + 48 cos (θ) + 16 cos^{2} (θ)

(x - x + 2) (x + x + 2)

(1 + i, - 2 i) - (a + bi, c + d i)

\frac{6 x}{( 7 x - 10 ) ( x + 8 )}

3 (22 - 5)

(8 x^{3} + 12 x^{2} + 6 x + 1) (8 x^{3} - 36 x^{2} = 54 x - 27)

What is expand (6+4cos(θ))^2 ?
The solution to expand (6+4cos(θ))^2 is 36+48cos(θ)+16cos^2(θ)