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

The solution to expand (2-2cos(x))^2 is 4-8cos(x)+4cos^2(x)

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

expand

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

4 - 8 cos (x) + 4 cos^{2} (x)

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

2^{2} - 2 \cdot 2 \cdot 2 cos (x) + (2 cos (x))^{2} : 4 - 8 cos (x) + 4 cos^{2} (x)

= 4 - 8 cos (x) + 4 cos^{2} (x)

(y^{2} + 1 + 3) (y^{2} + 1 - 3)

(5 x - 2) (5 x + 2)

(x - 1 + 6) (x - 1 - 6)

(3 t - 1)^{3} d x

(3 x + 3) (3 x - 3)

What is expand (2-2cos(x))^2 ?
The solution to expand (2-2cos(x))^2 is 4-8cos(x)+4cos^2(x)