What is expand (1-cos(8x))^3 ?

The solution to expand (1-cos(8x))^3 is 1-3cos(8x)+3cos^2(8x)-cos^3(8x)

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expand (1-cos(8x))^3

expand

(1 - cos (8 x))^{3}

1 - 3 cos (8 x) + 3 cos^{2} (8 x) - cos^{3} (8 x)

Solution steps

(1 - cos (8 x))^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(1 - cos (8 x))^{3} = 1^{3} - 3 \cdot 1^{2} cos (8 x) + 3 \cdot 1 \cdot cos^{2} (8 x) - cos^{3} (8 x)

= 1^{3} - 3 \cdot 1^{2} cos (8 x) + 3 \cdot 1 \cdot cos^{2} (8 x) - cos^{3} (8 x)

Simplify

1^{3} - 3 \cdot 1^{2} cos (8 x) + 3 \cdot 1 \cdot cos^{2} (8 x) - cos^{3} (8 x) : 1 - 3 cos (8 x) + 3 cos^{2} (8 x) - cos^{3} (8 x)

= 1 - 3 cos (8 x) + 3 cos^{2} (8 x) - cos^{3} (8 x)

\frac{x}{( x ^{2} + 2 ) ^{2}}

5 (5 + 7)

4 (5 - 1)

2 (- 5.555 + 2 y = - 7)

(8 - 83 i)^{7}

What is expand (1-cos(8x))^3 ?
The solution to expand (1-cos(8x))^3 is 1-3cos(8x)+3cos^2(8x)-cos^3(8x)