What is expand (1-cos(3x))^2 ?

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

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expand (1-cos(3x))^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

\frac{x + 2}{2 - x - 12} + \frac{x - 1}{2 + 2 x}

t^{2} e^{4 t^{5}} (3 - 20 t^{5} - 40 t^{2})

8 (sin (2 x) - cos (2 x))

l im x \Rightarrow - 1 (x^{3} - 2 x^{2} - 5 x - 1)

11 (10 + 2)

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