(a+b/2ab²)³÷(a²-b²/ab²)²÷[1/2(a-b)]²
=(a+b)³/8(ab²)³x(ab²)²/(a+b)²(a-b)²x4/(a-b)²
=(a+b)/8ab²(a-b)²x4/(a-b)²
=(a+b)/2ab²
=(-1/2+2/3)/(-1/2x2x4/9)
=(1/6)/(-4/9)
=-3/8
(a+b/2ab²)³÷(a²-b²/ab²)²÷[1/2(a-b)]²
=(a+b)³/8(ab²)³x(ab²)²/(a+b)²(a-b)²x4/(a-b)²
=(a+b)/8ab²(a-b)²x4/(a-b)²
=(a+b)/2ab²
=(-1/2+2/3)/(-1/2x2x4/9)
=(1/6)/(-4/9)
=-3/8