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Problem: ab/(a^2+ab+b^2 )+((ac-ad-bc+bd)/(ac-ad+bc-bd)÷(a^3-b^3)/(a^3+b^3 ))
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This is what the equation really looks like!
the way I see it is the "yuck" on the right came from somewhere and thanks to your answer you know are going to be able to cancel out the d's & c's. They are going to stick together so you can factor them out. So to start (ac-ad-bc+bd)=(a-b)(c-d)
When you pull the bottom apart remember that (c-d) is something you are going to want to get rid of and start there.
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