What is expand a(2+cos(2θ))^2 ?

The solution to expand a(2+cos(2θ))^2 is 4a+4acos(2θ)+acos^2(2θ)

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expand a(2+cos(2θ))^2

expand

a (2 + cos (2 θ))^{2}

4 a + 4 a cos (2 θ) + a cos^{2} (2 θ)

Solution steps

a (2 + cos (2 θ))^{2}

Expand

(2 + cos (2 θ))^{2} : 4 + 4 cos (2 θ) + cos^{2} (2 θ)

= a (4 + 4 cos (2 θ) + cos^{2} (2 θ))

Apply the distributive law:

m (a + b + c) = ma + mb + m c

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

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

= 4 a + 4 a cos (2 θ) + a cos^{2} (2 θ)

(x + 2) (x - 1) (x - (4 + i)) (x - (4 - i))

(2 x + \frac{1}{x})^{4}

(a, b) (b, - a)

\frac{2}{2} (\frac{2 x}{y} + 1 - e^{x - y})

(x + y^{'} (x)) (x + y)

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