What is factor cos^4(x)+2cos^2(x)+1 ?

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

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factor cos^4(x)+2cos^2(x)+1

factor

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

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

Solution steps

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

Let

u = cos^{2} (x)

= u^{2} + 2 u + 1

Factor

u^{2} + 2 u + 1 : (u + 1) (u + 1)

= (u + 1) (u + 1)

Substitute back

u = cos^{2} (x)

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

Refine

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

(4 g h^{4} - 8 g + 14 h) + 7 g h

(- 4 + 43 i)^{20}

(x) - 1

\frac{d}{d t} ((x) (sin (k t)))

sin^{2} (x) - 2 sin (x) + 1

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