How many terms are in the expansion of the expression \([(3x+2y)^2(3x-2y)^2]^3\) after it is simplified to lowest terms?
Expand [(3x+2y)^2(3x-2y)^2]^3
531441 x^12 - 1417176 x^10 y^2 + 1574640 x^8 y^4 - 933120 x^6 y^6 + 311040 x^4 y^8 - 55296 x^2 y^10 + 4096 y^12 (7 TERMS).