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Home > Algebra calculators > Adding, subtracting, multiplying, dividing of rational expressions polynomials calculator
Method and examples
Rational Expression of Polynomials
1. Reduce rational expressions
  1. `4x^2-25` and `8x^3-125`
  2. `x^2-9` and `x^3-27`
  3. `x^2-xy-2y^2` and `2x^2-xy-y^2`
  4. `x^4-x^2-6` and `x^4-4x^2+3`
  5. `2(x^2-y^2)` and `3(x^3-y^3)`
  6. `x^4-1` and `x^2+1`
  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. Adding, subtracting, multiplying, dividing of rational expressions
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 expressions
  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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