Factor b^6-3b^4-2b^2+6

$b^{6} - 3 b^{4} - 2 b^{2} + 6$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(b^{6} - 3 b^{4}) - 2 b^{2} + 6$

Factor out the greatest common factor (GCF) from each group.

$b^{4} (b^{2} - 3) - 2 (b^{2} - 3)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $b^{2} - 3$ .

$(b^{2} - 3) (b^{4} - 2)$