Factor x^6+4x^4-12x^2

$x^{6} + 4 x^{4} - 12 x^{2}$

Factor $x^{2}$ out of $x^{6} + 4 x^{4} - 12 x^{2}$ .

Factor $x^{2}$ out of $x^{6}$ .

$x^{2} x^{4} + 4 x^{4} - 12 x^{2}$

Factor $x^{2}$ out of $4 x^{4}$ .

$x^{2} x^{4} + x^{2} (4 x^{2}) - 12 x^{2}$

Factor $x^{2}$ out of $- 12 x^{2}$ .

$x^{2} x^{4} + x^{2} (4 x^{2}) + x^{2} \cdot - 12$

Factor $x^{2}$ out of $x^{2} x^{4} + x^{2} (4 x^{2})$ .

$x^{2} (x^{4} + 4 x^{2}) + x^{2} \cdot - 12$

Factor $x^{2}$ out of $x^{2} (x^{4} + 4 x^{2}) + x^{2} \cdot - 12$ .

$x^{2} (x^{4} + 4 x^{2} - 12)$

Rewrite $x^{4}$ as ${(x^{2})}^{2}$ .

$x^{2} ({(x^{2})}^{2} + 4 x^{2} - 12)$

Let $u = x^{2}$ . Substitute $u$ for all occurrences of $x^{2}$ .

$x^{2} (u^{2} + 4 u - 12)$

Factor $u^{2} + 4 u - 12$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 12$ and whose sum is $4$ .

$- 2, 6$

Write the factored form using these integers.

$x^{2} ((u - 2) (u + 6))$

Factor.

Replace all occurrences of $u$ with $x^{2}$ .

$x^{2} ((x^{2} - 2) (x^{2} + 6))$

Remove unnecessary parentheses.

$x^{2} (x^{2} - 2) (x^{2} + 6)$

Factor x^6+4x^4-12x^2

Related Questions

Support LCMGCF.com by disabling your adblocker.