What is expand (1-cos(4x))^2 ?

The solution to expand (1-cos(4x))^2 is 1-2cos(4x)+cos^2(4x)

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expand (1-cos(4x))^2

expand

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

1 - 2 cos (4 x) + cos^{2} (4 x)

Solution steps

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

Apply Perfect Square Formula:

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

(1 - cos (4 x))^{2} = 1^{2} - 2 \cdot 1 \cdot cos (4 x) + cos^{2} (4 x)

= 1^{2} - 2 \cdot 1 \cdot cos (4 x) + cos^{2} (4 x)

Simplify

1^{2} - 2 \cdot 1 \cdot cos (4 x) + cos^{2} (4 x) : 1 - 2 cos (4 x) + cos^{2} (4 x)

= 1 - 2 cos (4 x) + cos^{2} (4 x)

(cos (θ) + i sin (θ))^{3}

\frac{\partial}{\partial x} ((f (x, y)) (x^{2} + y^{2}))

sin (x) (1 + tan (x))

(a + b + c + d + e)^{3}

\frac{5 ( 1 + 5 )}{2}

What is expand (1-cos(4x))^2 ?
The solution to expand (1-cos(4x))^2 is 1-2cos(4x)+cos^2(4x)