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Help #1

 Feb 23, 2018
 #1
avatar+99586 
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1.  Factor both expressions

 

x^2  +  x  -  12  =    (x + 4) (x - 3)

 

x^2 + 2x  - 15  =    (x + 5) (x - 3)

 

The LCM  is just all the different factors we have listed....so....

 

(x - 4)  (x + 5) ( x - 3)  ⇒ second answer

 

 

2.  Notice that we can see if the first numerator factors  using the second denominator

 

(w + 6) ( w - 4)                 8

____________  +         _____

(w + 6) ( w - 5)             ( w - 5)

 

 

 

( w - 4)       +     8

______          _____

(w - 5 )            (w - 5)

 

 

( w - 4 + 8)

_________

  ( w  - 5)  

 

 

w +  4

_____

w  - 5

 

 

 

cool cool cool

 Feb 23, 2018

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