What is factor x^6-9x^4-81x^2+729 ?

The solution to factor x^6-9x^4-81x^2+729 is (x+3)^2(x-3)^2(x^2+9)

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factor x^6-9x^4-81x^2+729

factor

x^{6} - 9 x^{4} - 81 x^{2} + 729

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

Solution steps

x^{6} - 9 x^{4} - 81 x^{2} + 729

Let

u = x^{2}

= u^{3} - 9 u^{2} - 81 u + 729

Factor

u^{3} - 9 u^{2} - 81 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^{2} + 9) (x + 3) (x - 3)

Simplify

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

(- 4 + i)^{3}

\frac{5}{9} (x - 32)

(\frac{y ^{4}}{2})^{3}

\frac{7 ^{2}}{7 ^{5}}

(8 - 2)^{2}

What is factor x^6-9x^4-81x^2+729 ?
The solution to factor x^6-9x^4-81x^2+729 is (x+3)^2(x-3)^2(x^2+9)