29^2+2*29*21+21^2:26^2-24^2 = 29^2 + 1218 + 21^2/26^2 - 24^2 = (29-24)(29+24) + 1218 + 441/676 = 5(29+24) + 1218 + 441/676 = 5 * 53 + 1218 + 441/676 = 265 + 1218 + 441/676 = 1483 + 441/676 = 1002949/676.
29^2+2*29*21+21^2:26^2-24^2 = 29^2 + 1218 + 21^2/26^2 - 24^2 = (29-24)(29+24) + 1218 + 441/676 = 5(29+24) + 1218 + 441/676 = 5 * 53 + 1218 + 441/676 = 265 + 1218 + 441/676 = 1483 + 441/676 = 1002949/676.