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Popular >

factor x^6-6x^4+12x^2-8

Solution

factor

x^{6} - 6 x^{4} + 12 x^{2} - 8

Solution

(x^{2} - 2)^{3}

Solution steps

x^{6} - 6 x^{4} + 12 x^{2} - 8

Let

u = x^{2}

= u^{3} - 6 u^{2} + 12 u - 8

Factor

u^{3} - 6 u^{2} + 12 u - 8 : (u - 2) (u - 2) (u - 2)

= (u - 2) (u - 2) (u - 2)

Substitute back

u = x^{2}

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

Refine

= (x^{2} - 2)^{3}

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Frequently Asked Questions (FAQ)

What is factor x^6-6x^4+12x^2-8 ?
The solution to factor x^6-6x^4+12x^2-8 is (x^2-2)^3