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Rational Expression of Polynomials
 
1. Reduced Terms 

 
  1. `X^2-XY-2Y^2` and `2X^2-XY-Y^2`
  2. `X^4-X^2-6` and `X^4-4X^2+3`
  3. `4X^2-25` and `8X^3-125`
  4. `2(X^2-Y^2)` and `3(X^3-Y^3)`
  5. `X^4-1` and `X^2+1`
  6. `X^2-9` and `X^3-27`
  7. `8X^3+1` and `2X+1`
  8. `X^2+3X+2` and `X^2+4X+3`
  9. `X^2-X-6` and `X^2-5X+6`
  10. `X^6-64` and `X^4-16`
  11. `6X^2+7X+2` and `6X^2+X-2`
  12. `2X^2+5X+3` and `X^2-1`
  13. `X^2+X` and `X^2+2X+1`

2. Addition, Subtraction, Multiplication, Division
Two Terms  Three Terms
 
 



   
 
  1. `(X^2+1)/(X^3+1)`+`(X)/(X^2-1)`-`(1)/(X+1)`
  2. `(X-1)/(X+1)`-`(X+1)/(X-1)`+`(4X)/(X^2-1)`
  3. `(X^2-X+1)/(2(X-1))`-`(X^2+X+1)/(2(X+1))`-`(4X)/((X^2-1)^2)`
  4. `(1)/(12X^2-17X+6)`+`(1)/(6X^2-7X+2)`-`(1)/(8X^2-10X+3)`
  5. `(1)/(6X^2-13X+6)`-`(1)/(8X^2-14X+3)`+`(1)/(12X^2-11X+2)`
  6. `(X+2)/(X^2-4X+3)`-`(X+3)/(X^2-3X+2)`+`(X+1)/(X^2-5X+6)`
  7. `(X^3-1)/(X-1)`+`(X^3+1)/(X+1)`-`(2(X^4-1))/(X^2-1)`
  8. `(X^3-1)/(X^2-1)`*`(X^2+X)/(X^2)`*`(X)/(X^2+X+1)`
  9. `(X^3-8)/(X^2-X)`*`((X-1)^2+X)/((X+2)^2-2X)`/`(X^3+1)/(X^2-X)`
  10. `(X^2+5X+4)/(X^2-4)`*`(X^2-5X+6)/(X^2-16)`/`(X^2-2X-3)/(X^2-2X-8)`
  11. `(X^2-3X)/(X^3-4X)`*`(X^4-16)/(X^2-9)`*`(X^2+3X)/(X^3+4X)`
  12. `(X^2-9)/(X^2+4X+3)`*`(X^2-1)/(X^2+X-2)`*`(X^2+3X+2)/(X^2-2X-3)`
  13. `(X^3+64)/(X^2+20X+64)`*`(X^2+12X-64)/(X^3-64)`/`(X^2-4X+16)/(X^2+4X+16)`

3. Simplify any expression
  1. `(2x+8)/(3x+1)+3-(x+4)/(7x+1)+17/4`
  2. `(3x+1)/2-(3x-1)/3+(5(x+2))/6`
  3. `x/1+1/x`
  4. `(2x+1)/5+(y^2-1)/6`
  5. `(3x+1)/5-(3x-1)/3`
  6. `(2x+8)/(3x+1)+3`

 
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