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)

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

(3 - i)^{6}

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

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

2 (e^{2} - e)

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