What is factor x^6-4x^4-9x^2+36 ?

The solution to factor x^6-4x^4-9x^2+36 is (x+2)(x-2)(x^2+3)(x^2-3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^6-4x^4-9x^2+36

factor

x^{6} - 4 x^{4} - 9 x^{2} + 36

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

Solution steps

x^{6} - 4 x^{4} - 9 x^{2} + 36

Let

u = x^{2}

= u^{3} - 4 u^{2} - 9 u + 36

Factor

u^{3} - 4 u^{2} - 9 u + 36 : (u - 4) (u + 3) (u - 3)

= (u - 4) (u + 3) (u - 3)

Substitute back

u = x^{2}

= (x^{2} - 4) (x^{2} + 3) (x^{2} - 3)

Factor

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

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

\frac{( \frac{1}{2} )}{2}

3 \cdot 12

x^{3} + 12 x^{2} + 48 x + 64

- \frac{5}{4} + 1

4 x + 6 \leq 9

What is factor x^6-4x^4-9x^2+36 ?
The solution to factor x^6-4x^4-9x^2+36 is (x+2)(x-2)(x^2+3)(x^2-3)