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A
1) a²b/12c * 16с/ab² = a * 4/3 * b = 4a/3b;

2) 28a/c³ : (4a²c) = 28a/c³ * 1/4a²c = 7/c³ * 1/ac = 7/ac^4;

3) 6a-6b/c² * 4c^6/a²-b² = 6(a-b)/c² * 4c^6/(a-b)(a+b) = 24c^4/a+b;

4) 5(x-2)/2x+3 * 4x+6/x²-4 = 5* 2/x+2 = 10/x+2;

B
1) 5b / b-3 - b+6/2b-6 * 90/b² + 6b = 5b/b-3 - b+6/2(b-3) * 90/ b(b+6) = 5b/b-3 - (b+6)*90/2(b-3)(b+6)b = 5b/b-3 - 45/b(b-3) = 5b²/b(b²-3) - 45/b(b-3) = 5b²-45/b(b-3) = 5(b-9)/b(b-3) = 5(b-3)(b+3)/b(b-3) = 5(b+3)/b

2) ((a-8)/(a+8) - (a+8)/(a-8)):(16a/(64-a²)) = ((a-8)²-(a+8)² ) / ((a+8)(a-8)) * (64-а²)/ 16а =
= (a²-16а+64 - a²-16а-64 ) / (a²-64) * (64-а²)/ 16а =
= -32а / (a²-64) * (- (а² -64)/ 16а) = 32а/ 16а = 2