SOLUTION: Please help me simplify with division: {{{(3x+3y+3)/(9x)}}} / {{{(x^2+2xy+y^2-1)/(x^4+x^2)}}}

Question 207462This question is from textbook Introductory Algebra
: Please help me simplify with division:
/ This question is from textbook Introductory Algebra

Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!

�

Invert the second fraction and change the 
division to multiplication:



Factor  by factoring out  and getting 

Factor  by factoring out  and getting 

Factor  
Factor the first three terms as 

and then factor that as the difference of two squares:

or


Now replace each by its factored form:



Cancel the 3 into the 9.



The x in the bottom cancels out the square in the top:



Cancel the 's:



All that's left is



You can leave it like that or multiply out, and get



Edwin

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