Respuesta :

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
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