addingsubstateexcluded.py

Created by thabo
Created on April 19, 2024
892 Bytes
5/x^2+7x+6  +  3x/x^2+4x-12
  (x+6)(x+1)     (x+6)(x-2)
          LCD (x+6)(+1)(x-2)
5(x-2)/(x+6)(x+1)(x-2)
  + 3x(x+1)/(x+6)(x+1)(x-2)
5(x-2)+ 3x(x+1)/(x+6)(x+1)(x-2)
5x-10+3x^2+3x/(x+6)(x+1)(x-2)
3x^2+8x-10/(x+6)(x+1)(x-2)
  X cannot = -6,-1,2

8x/x^2+6 + 5/x
    LCD = x(x^2+6)
8x X x/x(x^2+6) + 5(x^2+6)/x(x^2+6)
8x X x + 5(x^2+6)/x(x^2+6)
8x^2 + 5x^2 +30/x(x^2+6)
13x^2+30/x(x^2+6)
  X CANNOT = 0 (other 1 NRS)
  
2x+5/x^2-36 - 5/x-6
 (x+6)(x-6)
    LCD=(x+6)(x-6)
2x+5/(x+6)(x-6) - 5(x+6)/(x+6)(x-6)
2x+5-5(x+6)/(x+6)(x-6)
2x+5-5x-30/(x+6)(x-6)
-3x-25/(x+6)(x-6)
-(3x+25)/(x+6)(x-6)
  X CANNOT = -6,6
  
5/x^2+x-12 - 3/2x^2+x-21
(x+4)(x-3)    (2x+7)(x-3)
    LCD=(x+4)(2x+7)(x-3)
5(2x+7)/(x+4)(2x+7)(x-3) - 3(x+4/(x+4)(2x+7)(x-3)
5(2x+7) - 3(x+4)/(x+4)(2x+7)(x-3)
1-x+35-3x-12/(x+4)(2x+7)(x-3)
7x+23/(x+4)(2x+7)(x-3)
    X cannot be -4,3,-7/2