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

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

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

expand

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

- sin (2 \cdot 2 t) + 1

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(x - 2 + 5) (x - 2 - 5)

(1 - sin (x)) (- sin (x))

\frac{1}{s ^{2} ( s + 2 )}

(4 x + 1)^{2}

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