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

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

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

factor

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

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

Solution steps

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

Rewrite

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

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

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

Apply Perfect Square Formula:

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

a = cos (y), b = 1

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

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