SOLUTION: Add {{{( (P^(2)-5P+6)/(P^(2)-2P-3))+((P^(2)-7P+6)/(P^(2)+3P-4))
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Question 611363: Add ( (P^(2)-5P+6)/(P^(2)-2P-3))+((P^(2)-7P+6)/(P^(2)+3P-4))
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
((P^(2)-5P+6)/(P^(2)-2P-3))+((P^(2)-7P+6)/(P^(2)+3P-4))
-------------------------------
Factor:
= (((p-2)(p-3))/((p-3)(p+1)))+(((p-6)(p-1))/((p+4)(p-1)))
------------------------
= (p-2)/(p+1) + (p-6)/(p+4)
----------------------------------
= [(p-2)(p+4)+(p+1)(p-6)]/[(p+1)(p+4)]
---------
= [p^2+2p-8+p^2-5p-6]/[p^2+5p+5]
----
= [2p^2-3p-14] / [p^2+5p+5]
-----
= [2p^2-7p+4p-14] / [p^2+5p+5]
------
= [p(2p-7)+2(2p-7)] / [p^2+5p+5]
------
= [(2p-7)(p+2)] / [p^2+5p+5]
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Cheers,
Stan H.
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