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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

, x (x 2 + y^{2})

(3 + 1)^{7}

\frac{4 x + 5}{( x + 5 ) ( 5 x - 1 )}

\frac{d}{d t} ((k) (s k^{a} - nk))

(2 + 5 x i)^{2}

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