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

The solution to expand (3+cos(x))^2 is 9+6cos(x)+cos^2(x)

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expand (3+cos(x))^2

expand

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

9 + 6 cos (x) + cos^{2} (x)

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

3^{2} + 2 \cdot 3 cos (x) + cos^{2} (x) : 9 + 6 cos (x) + cos^{2} (x)

= 9 + 6 cos (x) + cos^{2} (x)

s \cdot (1 + \frac{s}{3}) \cdot (1 + \frac{s}{20})

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

(x + 1) (x - 3)

(x + 2) (x + 15)

ln (x) (x - 1)

What is expand (3+cos(x))^2 ?
The solution to expand (3+cos(x))^2 is 9+6cos(x)+cos^2(x)