SOLUTION: 5. ył+27 by y+3

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Question 201849: 5. ył+27 by y+3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28y%5E3%2B27%29%2F%28y%2B3%29 Start with the given expression.


%28%28y%2B3%29%2A%28y%5E2-3%2Ay%2B9%29%29%2F%28y%2B3%29 Factor y%5E3%2B27 to get %28y%2B3%29%2A%28y%5E2-3%2Ay%2B9%29 (hint: use the sum of cubes formula)


%28highlight%28%28y%2B3%29%29%28y%5E2-3y%2B9%29%29%2F%28highlight%28%28y%2B3%29%29%29 Highlight the common terms.


%28cross%28%28y%2B3%29%29%28y%5E2-3y%2B9%29%29%2F%28cross%28%28y%2B3%29%29%29 Cancel out the common terms.


y%5E2-3y%2B9 Simplify.


So %28y%5E3%2B27%29%2F%28y%2B3%29 simplifies to y%5E2-3y%2B9.


In other words, %28y%5E3%2B27%29%2F%28y%2B3%29=y%5E2-3y%2B9 where y%3C%3E-3