What is expand (1-cos(2x))(1-cos(2x))(1-cos(2x)) ?

The solution to expand (1-cos(2x))(1-cos(2x))(1-cos(2x)) is 1-3cos(2x)+3cos^2(2x)-cos^3(2x)

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expand (1-cos(2x))(1-cos(2x))(1-cos(2x))

expand

(1 - cos (2 x)) (1 - cos (2 x)) (1 - cos (2 x))

1 - 3 cos (2 x) + 3 cos^{2} (2 x) - cos^{3} (2 x)

Solution steps

(1 - cos (2 x)) (1 - cos (2 x)) (1 - cos (2 x))

Expand

(1 - cos (2 x)) (1 - cos (2 x)) (1 - cos (2 x)) : (1 - 2 cos (2 x) + cos^{2} (2 x)) (1 - cos (2 x))

= (1 - 2 cos (2 x) + cos^{2} (2 x)) (1 - cos (2 x))

Distribute parentheses

= 1 \cdot 1 + 1 \cdot (- cos (2 x)) - 2 cos (2 x) \cdot 1 - 2 cos (2 x) (- cos (2 x)) + cos^{2} (2 x) \cdot 1 + cos^{2} (2 x) (- cos (2 x))

Simplify

1 \cdot 1 + 1 \cdot (- cos (2 x)) - 2 cos (2 x) \cdot 1 - 2 cos (2 x) (- cos (2 x)) + cos^{2} (2 x) \cdot 1 + cos^{2} (2 x) (- cos (2 x)) : 1 - 3 cos (2 x) + 3 cos^{2} (2 x) - cos^{3} (2 x)

= 1 - 3 cos (2 x) + 3 cos^{2} (2 x) - cos^{3} (2 x)

f (x - 10) (x + 10) d x

(a + 5)^{2}

(sec (x) + tan (x) - 1) (sec (- tan (x) + 1))

\frac{3 x ( x ^{2} + 4 x y + 4 y )}{2}

4 sin ((6 + 2 x)^{4})

What is expand (1-cos(2x))(1-cos(2x))(1-cos(2x)) ?
The solution to expand (1-cos(2x))(1-cos(2x))(1-cos(2x)) is 1-3cos(2x)+3cos^2(2x)-cos^3(2x)