What is factor y^8-4y^6+6y^4-4y^2+1 ?

The solution to factor y^8-4y^6+6y^4-4y^2+1 is (y+1)^4(y-1)^4

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factor y^8-4y^6+6y^4-4y^2+1

factor

y^{8} - 4 y^{6} + 6 y^{4} - 4 y^{2} + 1

(y + 1)^{4} (y - 1)^{4}

Solution steps

y^{8} - 4 y^{6} + 6 y^{4} - 4 y^{2} + 1

Let

u = y^{2}

= u^{4} - 4 u^{3} + 6 u^{2} - 4 u + 1

Factor

u^{4} - 4 u^{3} + 6 u^{2} - 4 u + 1 : (u - 1) (u - 1) (u - 1) (u - 1)

= (u - 1) (u - 1) (u - 1) (u - 1)

Substitute back

u = y^{2}

= (y^{2} - 1) (y^{2} - 1) (y^{2} - 1) (y^{2} - 1)

Factor

y^{2} - 1 : (y + 1) (y - 1)

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

Factor

y^{2} - 1 : (y + 1) (y - 1)

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

Factor

y^{2} - 1 : (y + 1) (y - 1)

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

Factor

y^{2} - 1 : (y + 1) (y - 1)

= (y + 1) (y - 1) (y + 1) (y - 1) (y + 1) (y - 1) (y + 1) (y - 1)

Refine

= (y + 1)^{4} (y - 1)^{4}

(sin (X))^{2}

x (a l c u a d r a d o) + 13 x - 90

x (sec (x) tan (x))

f (x)^{g (x)}

2 k p - km + 6 p - 3 m

What is factor y^8-4y^6+6y^4-4y^2+1 ?
The solution to factor y^8-4y^6+6y^4-4y^2+1 is (y+1)^4(y-1)^4