What is expand (1-sin(2x))^2 ?

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

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expand (1-sin(2x))^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 1 - 2 sin (2 x) + sin^{2} (2 x)

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

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

\frac{1}{2} + \frac{1}{4} (1.2 - 1)

(- 2 - 3 i)^{7}

(x^{2} - 3 x)^{2} - 36

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