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

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

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

expand

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

4 - 16 cos (x) + 16 cos^{2} (x)

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 4 - 16 cos (x) + 16 cos^{2} (x)

3 X^{2} + 1 X - 2

\frac{( 2 x ^{3} - x + 3 )}{( ( x ^{2} - 1 ) ( x + 2 ) )}

sin^{2} (k x) + sin ((2 k + 1) x) sin (x)

\frac{( x ^{2} + 3 x + 2 ) ( 4 x ^{2} - 8 x - 5 )}{2}

\frac{( 2 x ^{4} - 6 x ^{2} )}{( x ^{2} - 1 ) ^{2}}

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