Convert to standard formula, find the center and radius, and find the center distance between two circles. When the center distance is less than the absolute value of the radius difference, the two circles are inscribed. When the center distance is less than the sum of radii, two circles intersect. When the center distance is equal to the sum of their radii, the two circles are circumscribed. When the center distance is greater than the sum of radii, the two circles are circumscribed.

( 1)c 1:(x+ 1)2+(y+ 1)2 = 36； C2:(x+2)2+(y+ 1)2 = 1 | c 1 C2 | =√ 17〈7

So the two circles are separated (2 in the above formula is a square and17 under the root sign); (2) The center distance between two circles is equal to the difference of radii, so they are tangent to each other.

(3) Two circles intersect