SOLUTION: Which of the following is equal to the rational expression when x≠4 or -9? (x-4)(x+11)/(x+9)(x-4)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Which of the following is equal to the rational expression when x≠4 or -9? (x-4)(x+11)/(x+9)(x-4)      Log On


   

Question 625244: Which of the following is equal to the rational expression when x≠4 or -9?
(x-4)(x+11)/(x+9)(x-4)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x-4%29%28x%2B11%29%29%2F%28%28x%2B9%29%28x-4%29%29%29
Just reduce the fraction. (x-4) is a factor common to both the numerator and denominator so we can cancel then:
%28cross%28%28x-4%29%29%28x%2B11%29%29%2F%28%28x%2B9%29cross%28%28x-4%29%29%29
leaving:
%28x%2B11%29%2F%28x%2B9%29

If this is not among "the following", then I guess you are supposed to perform long division:
      1
     __________________
x+9 / x + 11
      x +  9
     -------
           2

So %28x%2B11%29%2F%28x%2B9%29+=+1+%2B+2%2F%28x%2B9%29