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

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

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

factor

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

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

Solution steps

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

Rewrite

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

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

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

Apply Perfect Square Formula:

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

a = cos (x), b = 1

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

(5 x + 3)^{3} + (x - 5)^{3}

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

3 x^{2} + 4 - 20

e^{2} - e^{3}

3 a + 3 b + a x + b x

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