What is factor x^8-26x^4+25 ?

The solution to factor x^8-26x^4+25 is (x^2+1)(x+1)(x-1)(x^2+5)(x^2-5)

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factor x^8-26x^4+25

factor

x^{8} - 26 x^{4} + 25

(x^{2} + 1) (x + 1) (x - 1) (x^{2} + 5) (x^{2} - 5)

Solution steps

x^{8} - 26 x^{4} + 25

Let

u = x^{2}

= u^{4} - 26 u^{2} + 25

Factor

u^{4} - 26 u^{2} + 25 : (u + 1) (u - 1) (u + 5) (u - 5)

= (u + 1) (u - 1) (u + 5) (u - 5)

Substitute back

u = x^{2}

= (x^{2} + 1) (x^{2} - 1) (x^{2} + 5) (x^{2} - 5)

Factor

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

= (x^{2} + 1) (x + 1) (x - 1) (x^{2} + 5) (x^{2} - 5)

\frac{m + 5}{5} = 7

6 4^{\frac{- 1}{3}}

2 (x + 9) \leq 4 x - 2

\frac{13}{20} = r - \frac{3}{10}

\frac{1}{a} + \frac{1}{b}

What is factor x^8-26x^4+25 ?
The solution to factor x^8-26x^4+25 is (x^2+1)(x+1)(x-1)(x^2+5)(x^2-5)