What is expand (4+4cos(x))^2 ?

The solution to expand (4+4cos(x))^2 is 16+32cos(x)+16cos^2(x)

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expand (4+4cos(x))^2

expand

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

16 + 32 cos (x) + 16 cos^{2} (x)

Solution steps

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

Apply Perfect Square Formula:

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

(4 + 4 cos (x))^{2} = 4^{2} + 2 \cdot 4 \cdot 4 cos (x) + (4 cos (x))^{2}

= 4^{2} + 2 \cdot 4 \cdot 4 cos (x) + (4 cos (x))^{2}

Simplify

4^{2} + 2 \cdot 4 \cdot 4 cos (x) + (4 cos (x))^{2} : 16 + 32 cos (x) + 16 cos^{2} (x)

= 16 + 32 cos (x) + 16 cos^{2} (x)

2 - \frac{1}{4} sin (2) (x - \frac{π}{4})

(- z^{2} + 2 z - 1)^{8}

(a + 7)^{2}

(4 x^{\frac{1}{2}} + 5) (4 x^{\frac{1}{2}} - 5)

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

What is expand (4+4cos(x))^2 ?
The solution to expand (4+4cos(x))^2 is 16+32cos(x)+16cos^2(x)