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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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

(x^{2} + 2 x y - 4 y^{2}) d x - (x^{2} - 8 x y - 4 y^{2}) d y

\frac{d}{d y} ((x (y)) (1 + 7 y)^{8})

tan (θ) (cot (θ) - cos (θ))

\frac{d ^{2}}{d k ^{2}} ((y (k, x)) (e^{2 x} - k x))

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