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

The solution to expand (2-2sin(x))^2 is 4-8sin(x)+4sin^2(x)

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

expand

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

4 - 8 sin (x) + 4 sin^{2} (x)

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

2^{2} - 2 \cdot 2 \cdot 2 sin (x) + (2 sin (x))^{2} : 4 - 8 sin (x) + 4 sin^{2} (x)

= 4 - 8 sin (x) + 4 sin^{2} (x)

(\frac{1}{3} x^{3} y^{2} - 4 y)^{9}

\frac{6 x - 7}{3 ( 3 x ^{2} - 7 x + 1 ) ^{\frac{2}{3}}}

y^{\frac{1}{3}} (y^{\frac{4}{9}} - 7 y^{\frac{2}{9}})

e^{x} cos (x) (e^{x} cos (x) + e^{x} sin (x))

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

What is expand (2-2sin(x))^2 ?
The solution to expand (2-2sin(x))^2 is 4-8sin(x)+4sin^2(x)