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

(3 x - \frac{1}{2 x})^{6}

(2 + 7) \cdot 3

\frac{1}{s ( s - 1 )}

(2 - 1)^{5}

(5 - x) e^{x}

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