Question 401295
a) -x^2+10x-21/-3x^2+23x-14


-x^2 + 10x - 21
---------------
-3x^2 + 23x - 14


-1(x^2 - 10x + 21)
----------------- {factored -1 out of top and bottom}
-1(3x^2 - 23x + 14) 


(x - 7)(x - 3)
--------------- {cancelled the -1's and factored top and bottom into 2 binomials}
(3x - 2)(x - 7)


x - 3
------ {cancelled x - 7 on top and bottom}
3x - 2 


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b) 28x^2-29x+6/-28x^2+50x-12


28x^2 - 29x + 6
-----------------
-28x^2 + 50x - 12


(7x - 2)(4x - 3)
------------------ {factored -2 out of bottom and top into two binomials}
-2(14x^2 - 25x + 6)  


(7x - 2)(4x - 3)
------------------ {factored bottom into two binomials}
-2(7x - 2)(2x - 3)


4x - 3
---------- {cancelled 7x - 2 on top and bottom}
-2(2x - 3)


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