What is expand (1+2cos(x))^2 ?

The solution to expand (1+2cos(x))^2 is 1+4cos(x)+4cos^2(x)

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expand (1+2cos(x))^2

expand

(1 + 2 cos (x))^{2}

1 + 4 cos (x) + 4 cos^{2} (x)

Solution steps

(1 + 2 cos (x))^{2}

Apply Perfect Square Formula:

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

(1 + 2 cos (x))^{2} = 1^{2} + 2 \cdot 1 \cdot 2 cos (x) + (2 cos (x))^{2}

= 1^{2} + 2 \cdot 1 \cdot 2 cos (x) + (2 cos (x))^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot 2 cos (x) + (2 cos (x))^{2} : 1 + 4 cos (x) + 4 cos^{2} (x)

= 1 + 4 cos (x) + 4 cos^{2} (x)

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

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

(2 x - 3 y^{2}) d x

(x + i y)^{2} - 1

lo g_{9} \frac{9 x ^{7}}{y}

What is expand (1+2cos(x))^2 ?
The solution to expand (1+2cos(x))^2 is 1+4cos(x)+4cos^2(x)