What is factor x^6-4x^4-8x^4+32x^2+16x^2-64 ?

The solution to factor x^6-4x^4-8x^4+32x^2+16x^2-64 is (x+2)^3(x-2)^3

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factor x^6-4x^4-8x^4+32x^2+16x^2-64

factor

x^{6} - 4 x^{4} - 8 x^{4} + 32 x^{2} + 16 x^{2} - 64

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

Solution steps

x^{6} - 4 x^{4} - 8 x^{4} + 32 x^{2} + 16 x^{2} - 64

Add similar elements:

32 x^{2} + 16 x^{2} = 48 x^{2}

= x^{6} - 4 x^{4} - 8 x^{4} + 48 x^{2} - 64

Add similar elements:

- 4 x^{4} - 8 x^{4} = - 12 x^{4}

= x^{6} - 12 x^{4} + 48 x^{2} - 64

Let

u = x^{2}

= u^{3} - 12 u^{2} + 48 u - 64

Factor

u^{3} - 12 u^{2} + 48 u - 64 : (u - 4) (u - 4) (u - 4)

= (u - 4) (u - 4) (u - 4)

Substitute back

u = x^{2}

= (x^{2} - 4) (x^{2} - 4) (x^{2} - 4)

Factor

x^{2} - 4 : (x + 2) (x - 2)

= (x + 2) (x - 2) (x^{2} - 4) (x^{2} - 4)

Factor

x^{2} - 4 : (x + 2) (x - 2)

= (x + 2) (x - 2) (x + 2) (x - 2) (x^{2} - 4)

Factor

x^{2} - 4 : (x + 2) (x - 2)

= (x + 2) (x - 2) (x + 2) (x - 2) (x + 2) (x - 2)

Refine

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

- 10 ∣ v + 2 ∣ = 70

(- x^{2} + 9 x y) - (x^{2} + 6 x y - 8 y^{2})

12 n^{3} - 3 n^{2} + 16 n - 4

x^{2} + 8 x + 15 > 0

What is factor x^6-4x^4-8x^4+32x^2+16x^2-64 ?
The solution to factor x^6-4x^4-8x^4+32x^2+16x^2-64 is (x+2)^3(x-2)^3