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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(11)^{4}

\frac{4}{( x - 1 ) ( x + 1 )}

\frac{2 x - 3}{( x + 5 ) ( x - 5 )}

10 lo g_{10} (1 + 1 (\frac{10}{1})^{8})

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

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