What is factor 8-12a^2+6a^4-a^6 ?

The solution to factor 8-12a^2+6a^4-a^6 is -(a+sqrt(2))^3(a-sqrt(2))^3

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

factor

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

- (a + 2)^{3} (a - 2)^{3}

Solution steps

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

Factor out common term

- 1

= - (a^{6} - 6 a^{4} + 12 a^{2} - 8)

Factor

a^{6} - 6 a^{4} + 12 a^{2} - 8 : (a + 2) (a - 2) (a + 2) (a - 2) (a + 2) (a - 2)

= - (a + 2) (a - 2) (a + 2) (a - 2) (a + 2) (a - 2)

Refine

= - (a + 2)^{3} (a - 2)^{3}

e (3)

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

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

x^{2} - 9 x + 20.25

(x + 9)^{3} - y^{3}

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