SOLUTION: FACTOR EACH COMPLETELY 24xy+25y^2-20x-30y^3 please show steps

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Question 1048417: FACTOR EACH COMPLETELY
24xy+25y^2-20x-30y^3
please show steps
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
24xy%2B25y%5E2-20x-30y%5E3

Try to factor by grouping as they are arranged,

cross%28y%2824x%2B25y%29-10%282x-3y%5E2%29%29

No, that doesn't give us a common factor.

Rearrange by swapping the two middle terms:

24xy-20x%2B25y%5E2-30y%5E3

Try to factor by grouping as they are arranged

cross%284x%286y-5%29%2B5y%5E2%285-6y%29%29

Now we see we should have swapped the last two terms

24xy-20x-30y%5E3%2B25y%5E2

4x%286y-5%29-5y%5E2%286y-5%29

Now we have a common factor (6y-5)

%286y-5%29%284x-5y%5E2%29

Edwin