What is expand (3+3cos(x))^2 ?

The solution to expand (3+3cos(x))^2 is 9+18cos(x)+9cos^2(x)

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expand (3+3cos(x))^2

expand

(3 + 3 cos (x))^{2}

9 + 18 cos (x) + 9 cos^{2} (x)

Solution steps

(3 + 3 cos (x))^{2}

Apply Perfect Square Formula:

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

(3 + 3 cos (x))^{2} = 3^{2} + 2 \cdot 3 \cdot 3 cos (x) + (3 cos (x))^{2}

= 3^{2} + 2 \cdot 3 \cdot 3 cos (x) + (3 cos (x))^{2}

Simplify

3^{2} + 2 \cdot 3 \cdot 3 cos (x) + (3 cos (x))^{2} : 9 + 18 cos (x) + 9 cos^{2} (x)

= 9 + 18 cos (x) + 9 cos^{2} (x)

e^{t} (1 + e^{2})

4 (2 + \frac{3 y}{2})

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

sin (\frac{12 π}{3} - π x)

lo g_{x} (2 p) (3 q)

What is expand (3+3cos(x))^2 ?
The solution to expand (3+3cos(x))^2 is 9+18cos(x)+9cos^2(x)