What is expand (4-4cos(x))^2 ?

The solution to expand (4-4cos(x))^2 is 16-32cos(x)+16cos^2(x)

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expand (4-4cos(x))^2

expand

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

16 - 32 cos (x) + 16 cos^{2} (x)

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

4^{2} - 2 \cdot 4 \cdot 4 cos (x) + (4 cos (x))^{2} : 16 - 32 cos (x) + 16 cos^{2} (x)

= 16 - 32 cos (x) + 16 cos^{2} (x)

\frac{( x - 3 ) ^{2}}{25}

\frac{( x + 2 ) ( x - 4 )}{( x - 2 ) ( x - 6 )}

(a^{\frac{1}{2}} + b^{\frac{1}{2}})^{2}

(0.5 \cdot \frac{1}{3} + \frac{1}{5}) \cdot 1.2

e^{k t} (cosh (2 k t) - H (t - a) (t - b))

What is expand (4-4cos(x))^2 ?
The solution to expand (4-4cos(x))^2 is 16-32cos(x)+16cos^2(x)