(6x²-ax-2a²)/(ax-a²)*(x-a)/(9x²-4a²)÷(2x+a)/(3ax+2a²)
=(2x+a)(3x-2a)/a(x-a)*(x-a)/(3x-2a)(3x+2a)*(3ax+2a²)/(2x+a)
=(2x+a)/a*1/(3x+2a)*(3ax+2a²)/(2x+a)
=1/a*1/(3x+2a)*(3ax+2a²)
=1/a*1/(3x+2a)*a(3x+2a)
=1
(6x²-ax-2a²)/(ax-a²)*(x-a)/(9x²-4a²)÷(2x+a)/(3ax+2a²)
=(2x+a)(3x-2a)/a(x-a)*(x-a)/(3x-2a)(3x+2a)*(3ax+2a²)/(2x+a)
=(2x+a)/a*1/(3x+2a)*(3ax+2a²)/(2x+a)
=1/a*1/(3x+2a)*(3ax+2a²)
=1/a*1/(3x+2a)*a(3x+2a)
=1