What is expand (2sin(t)+2)^2 ?

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

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expand (2sin(t)+2)^2

expand

(2 sin (t) + 2)^{2}

4 sin^{2} (t) + 8 sin (t) + 4

Solution steps

(2 sin (t) + 2)^{2}

Apply Perfect Square Formula:

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

(2 sin (t) + 2)^{2} = (2 sin (t))^{2} + 2 \cdot 2 sin (t) \cdot 2 + 2^{2}

= (2 sin (t))^{2} + 2 \cdot 2 sin (t) \cdot 2 + 2^{2}

Simplify

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

= 4 sin^{2} (t) + 8 sin (t) + 4

(- 3 - i)^{5}

x^{\frac{x}{2}} (\frac{1}{2} ln (x) + \frac{1}{2})

4 v - 6 v

3 ((x - 1) (x + 3) (x - 4))

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

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