What is factor x^6-27x^4+243x^2-729 ?

The solution to factor x^6-27x^4+243x^2-729 is (x+3)^3(x-3)^3

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factor x^6-27x^4+243x^2-729

factor

x^{6} - 27 x^{4} + 243 x^{2} - 729

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

Solution steps

x^{6} - 27 x^{4} + 243 x^{2} - 729

Let

u = x^{2}

= u^{3} - 27 u^{2} + 243 u - 729

Factor

u^{3} - 27 u^{2} + 243 u - 729 : (u - 9) (u - 9) (u - 9)

= (u - 9) (u - 9) (u - 9)

Substitute back

u = x^{2}

= (x^{2} - 9) (x^{2} - 9) (x^{2} - 9)

Factor

x^{2} - 9 : (x + 3) (x - 3)

= (x + 3) (x - 3) (x^{2} - 9) (x^{2} - 9)

Factor

x^{2} - 9 : (x + 3) (x - 3)

= (x + 3) (x - 3) (x + 3) (x - 3) (x^{2} - 9)

Factor

x^{2} - 9 : (x + 3) (x - 3)

= (x + 3) (x - 3) (x + 3) (x - 3) (x + 3) (x - 3)

Refine

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

3 (r - 2)^{2} - 7 (r - 2) + 2

10 x - 10 y - x^{5} + x^{4} y

64 + (3 x + 2)^{3}

m^{3} n^{3} x^{3} + 1

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

What is factor x^6-27x^4+243x^2-729 ?
The solution to factor x^6-27x^4+243x^2-729 is (x+3)^3(x-3)^3