The answer is 4x - 9y
Step 1. Simplify y2/6
Step 2. Simplify y3/2
Step 3. Simplify y2/3
Step 4. Find the Least Common Multiple
Step 4.2 Calculate multipliers for the two fractions
Step 4.3 Rewrite the two fractions into equivalent fractions
Step 4.4 Adding up the two equivalent fractions add the two equivalent
fractions which now have a common denominator
Step 5. Divide 52xy2 - 117y3/6 by 13y2/6
Step 6. Pull out like factors 52xy2 - 117y3 = 13y2 • (4x - 9y)
The result is 4x - 9y