What is expand (6+2cos(x))^2 ?

The solution to expand (6+2cos(x))^2 is 36+24cos(x)+4cos^2(x)

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expand (6+2cos(x))^2

expand

(6 + 2 cos (x))^{2}

36 + 24 cos (x) + 4 cos^{2} (x)

Solution steps

(6 + 2 cos (x))^{2}

Apply Perfect Square Formula:

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

(6 + 2 cos (x))^{2} = 6^{2} + 2 \cdot 6 \cdot 2 cos (x) + (2 cos (x))^{2}

= 6^{2} + 2 \cdot 6 \cdot 2 cos (x) + (2 cos (x))^{2}

Simplify

6^{2} + 2 \cdot 6 \cdot 2 cos (x) + (2 cos (x))^{2} : 36 + 24 cos (x) + 4 cos^{2} (x)

= 36 + 24 cos (x) + 4 cos^{2} (x)

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

\frac{L}{2 π} - \frac{( 4 - L ) ( 3 )}{18}

\frac{d y}{d x}, 6 x y + x^{2} - 2 y^{2} = 3

(20 y + y^{2}) (\frac{20 y + y ^{2}}{20 + 3.46 y})^{\frac{2}{3}}

What is expand (6+2cos(x))^2 ?
The solution to expand (6+2cos(x))^2 is 36+24cos(x)+4cos^2(x)