Exercise 5.
Reduce the following rational expression to its lowest terms:
1. 3. 5. 7. 9. 11. 13. 15. |
2. 4. 6. 8. 10. 12. 14. |
16. What is the additive inverse of (a2 + 1)/(a2 - 1).
17. Find the sum of the rational expression (x - 3)/(x2 + 1) and its reciprocal.
18. Express 
as a rational expression.
19. Find the sum of 
20. Find 
21. If 
and 
, find the value of 
22. Simplify: 
23. Express 
as a rational expression.
24. Express 
as a rational expression.
25. If 
find 
.
26. 
27. 29. 31. |
28. 30. |
32. . |
|
33. 35. 37. If |
34.
36. |
| Answers | ||
1. x2 + 3x - 4 4. x - 3 7. (x + 2) / (x - 3) 10. (x - 3) (x - 1) / x 13. 2 / 3(a + 1) 16. (-a2 - 1) / (a2 - 1) 19. (2x2 = 2x - 7) / (x2 + x - 6) 22. 1 25. (x4 + 14x2 + 1) / (x4 - 2x2 + 1) 28. (2x3 + 3x2 + 6x - 1) / (3x + 2) |
2. 3(x + 3)/(2x + 1) 5. (x - 5) / (x - 4) 8. (2x - 5) / ( x - 4) 11. (x + 3) (x - 2) / x 14. (x + 2) / (x2 + 2x + 4) 17.( x4 + 3x2 - 6x + 10) /( x3 - 3x2 + x - 3) 20. (-x2 + 2x + 9) / (x + 2) 23. (x + 4) (x2 + 2x + 4) / (x2 -2x + 1) 26. 0 29. ( x2 + 3) / 3 |
3. x + 3 6. (x - 2) (x + 8) / (x + 2) 9. (x - 4) / (x + 4) 12. (x + 2) (x - 1) /( x + 1) 15. (x + 1) / (2x + 1) 18. (x - 1) / (x - 5) 21. xy 24. 1 / (x + 3) 27. 2 / (x - 4) (x - 6) 30. (x + 4) / (x - 4) |
31.  |
32. (4x2 + 6x - 14) /( x2 + 6x + 8) | |
33. 2x2 + 3x + 5 36. 8x / (1 - x4) |
34. -1 / (1 + x2) 37. (x4 + 3x2 + 1) / x(x2 + 1) |
35. (5x - 1) / (4x + 8) |
| Subjects | Maths (Part-1) by Mr. M. P. Keshari |
| Chapter 1 | Linear Equations in Two Variables |
| Chapter 2 | HCF and LCM |
| Chapter 3 | Rational Expression |
| Chapter 4 | Quadratic Equations |
| Chapter 5 | Arithmetic Progressions |
| Chapter 6 | Instalments |
| Chapter 7 | Income Tax |
| Chapter 8 | Similar Triangles |
find 
