How do you simplify and find the excluded value of #(X^2+3x-10)/(x^2+x-20)#?

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Answer 1 · 2017-02-11T06:53:47

#(x-2)/(x-4)#; the excluded value is #x=-5#

Since

#x^2+3x-10=(x+5)(x-2)#

and

#x^2+x-20=(x+5)(x-4)#

the expression is:

#(x^2+3x-10)/(x^2+x-20)=(color(red)((x+5))(x-2))/(color(red)((x+5))(x-4))#

Then the excluded value is #x=-5#

and you can simplify to:

#(x-2)/(x-4)#