SOLUTION: How do I simplify this expression: (x-8)/(x-4)+(x-5)/(x-7)-2 using this method of simplifying: (a-4)/(a-5)-(a-5)/(a-6)= [1+ 1/(a-5)]-[1+ 1/(a-6)= 1/(a-5)-1/(a-6)= -1/[(a-5)(a-6)]

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do I simplify this expression: (x-8)/(x-4)+(x-5)/(x-7)-2 using this method of simplifying: (a-4)/(a-5)-(a-5)/(a-6)= [1+ 1/(a-5)]-[1+ 1/(a-6)= 1/(a-5)-1/(a-6)= -1/[(a-5)(a-6)]       Log On


   

Question 992121: How do I simplify this expression: (x-8)/(x-4)+(x-5)/(x-7)-2
using this method of simplifying: (a-4)/(a-5)-(a-5)/(a-6)= [1+ 1/(a-5)]-[1+ 1/(a-6)= 1/(a-5)-1/(a-6)= -1/[(a-5)(a-6)]
Thank you
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-8%29%2F%28x-4%29%2B%28x-5%29%2F%28x-7%29-2

Simplest common denominator is (x-4)(x-7) so that is the kind of terms you want.



%28%28x-8%29%28x-7%29%2B%28x-5%29%28x-4%29-2%28x-4%29%28x-7%29%29%2F%28%28x-4%29%28x-7%29%29

%28x%5E2-15x%2B56%2Bx%5E2-9x%2B20-2%28x%5E2-11x%2B28%29%29%2F%28%28x-4%29%28x-7%29%29

%282x%5E2-24x%2B75-2x%5E2%2B44x-56%29%2F%28%28x-4%29%28x-7%29%29

%2820x%2B75-56%29%2F%28%28x-4%29%28x-7%29%29

highlight%28%2820x%2B19%29%2F%28x%5E2-11x%2B28%29%29

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

How do I simplify this expression: (x-8)/(x-4)+(x-5)/(x-7)-2
using this method of simplifying: (a-4)/(a-5)-(a-5)/(a-6)= [1+ 1/(a-5)]-[1+ 1/(a-6)= 1/(a-5)-1/(a-6)= -1/[(a-5)(a-6)]
Thank you
Simplifies to: highlight_green%28%28-+2x+%2B+20%29%2F%28%28x+-+4%29%28x+-+7%29%29%29, or highlight_green%28%28-+2x+%2B+20%29%2F%28x%5E2+-+11x+%2B+28%29%29