You can
put this solution on YOUR website! Factor
x4 + 324
(x2)2 + 182
That would be a perfect square if the term that is
twice the product of the square roots of those two
terms were added. That's 2·18·x2 or 36x2.
So we add that between those terms and then subtract it.
That's the same as adding 0:
(x2)2 + 36x2 + 182 - 36x2
Factor the first three terms as (x2 + 18)(x2 + 18) or (x2 + 18)2
(x2 + 18)2 - 36x2
That is the difference of two perfect squares:
[(x2 + 18) - 6x][(x2 + 18) + 6x]
[x2 + 18 - 6x][x2 + 18 + 6x]
(x2 - 6x + 18)(x2 + 6x + 18)
Edwin
