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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(x - 411) (x + 411)

(tan (x) + sin (x) sin (y)) d x + cos (x) cos (y) d y

(5 - 15 - x)^{2}

\frac{1}{( 2 z + 1 ) ( z - 3 )}

(f (x) = 3 x^{2} + x - 4) (5.76)

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