What is factor x^8-x^6-2x^2+2 ?

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

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factor x^8-x^6-2x^2+2

factor

x^{8} - x^{6} - 2 x^{2} + 2

(x + 1) (x - 1) (x^{6} - 2)

Solution steps

x^{8} - x^{6} - 2 x^{2} + 2

Let

u = x^{2}

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

Factor

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

= (u - 1) (u^{3} - 2)

Substitute back

u = x^{2}

= (x^{2} - 1) (x^{6} - 2)

Factor

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

= (x + 1) (x - 1) (x^{6} - 2)

(6 + x) (6 + x) - 36

\frac{2 x + 3}{4 x ^{2} - 9}

m^{75} - 125

\frac{d}{d x} ((f (x, y)) e^{(x + y)})

a - b^{9}

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