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

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

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expand (2+2cos(t))^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(x - \frac{π}{2})^{4}

\frac{( s + 10 ) ( s + 1 )}{( s + 100 ) ( s + 2 ) ^{3}}

x (5 x^{\frac{1}{3}} + 4 x^{\frac{1}{4}})

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

e^{2 x} \cdot (- lo g_{n} (2 x + 1) - 2 x)

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