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

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

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

expand

(sin (2 x) - cos (2 x))^{2}

- sin (2 \cdot 2 x) + 1

Solution steps

(sin (2 x) - cos (2 x))^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= - sin (2 \cdot 2 x) + 1

x (x + 3)

(3 + 3 cos (θ))^{2}

(1 + e^{- x})^{2}

\frac{( 1 - sin ( x ) + cos ( x ) ) ^{2}}{1 - sin ( x )} - 2

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