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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(\frac{1}{y ^{2}} - \frac{3}{y ^{4}}) (y + 5 y^{3})

(2 x^{2} + x - 3)^{8}

\frac{πk ( b ^{2} + z ^{2} - 2 b z )}{2 a}

(x^{\frac{6}{5}} + 2 x) e^{x}

(x - 2 - 2) (x - 2 + 2)

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