Question

Factor \[a^4+2a^2b^2+9b^4\]

Answer 1

a^4 + 2a^2b^2 + 9b^4
= a^4 + 6a^2b^2 + 9b^4 - 4a^2b^2
= (a^2 + 3b^2)^2 - (2ab)^2
= (a^2 + 2ab + 3b^2) (a^2 - 2ab + 3b^2).

Answer 2

\[(a^2-2 a b+3 b^2) (a^2+2 a b+3 b^2)\]

Answer 3

guess i have to come up with a harder one

Answer 4

ahah :p

Answer 5

try something with >2 leading coefficient

Answer 6

you want harder ones?