What is expand (1+2cos(2x))^2 ?

The solution to expand (1+2cos(2x))^2 is 1+4cos(2x)+4cos^2(2x)

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expand (1+2cos(2x))^2

expand

(1 + 2 cos (2 x))^{2}

1 + 4 cos (2 x) + 4 cos^{2} (2 x)

Solution steps

(1 + 2 cos (2 x))^{2}

Apply Perfect Square Formula:

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

(1 + 2 cos (2 x))^{2} = 1^{2} + 2 \cdot 1 \cdot 2 cos (2 x) + (2 cos (2 x))^{2}

= 1^{2} + 2 \cdot 1 \cdot 2 cos (2 x) + (2 cos (2 x))^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot 2 cos (2 x) + (2 cos (2 x))^{2} : 1 + 4 cos (2 x) + 4 cos^{2} (2 x)

= 1 + 4 cos (2 x) + 4 cos^{2} (2 x)

\frac{π ( e ^{- s} + 1 )}{( s ^{2} + π ^{2} ) ( s ^{2} + 1 )}

(\frac{1}{2} - 2 p)^{2}

1 - 2 x (1 - 2 x)

(cos (θ) + sin (θ) i)^{3}

4 (6 + 10 + 14)

What is expand (1+2cos(2x))^2 ?
The solution to expand (1+2cos(2x))^2 is 1+4cos(2x)+4cos^2(2x)