CBSE Guess > Papers > Important Questions > Class X > Maths > Mathematics By Mr. Sanjay Kumar

Chapter - 3

Q. 26. Simplify the following rational expressions: (i) (x⁴ - 6x³ + 36x²) / (x³ + 216).    (ii) (x4 - 1) / (x - 1).

Q. 27. Which rational expression should be subtracted from (2x² + 2x - 7) / (x² + x - 6) to get (x - 1) / (x - 2).

Q. 28. Simplify: [ (2x – 1) / (x – 1) – (x + 1) / (2x + 1) ] + [ (x - 1) / (x + 2) – (x + 1) / (x – 2)].

Q. 29. If A = x² – 7x + 12 and B = x² – 5x + 6, then evaluate the sum their reciprocals to the lowest form.

Q. 30. Simplify the rational expression to the lowest terms:

Q. 31. Simplify the rational expression: .

Q. 32. Simplify the rational expression: .

Q. 33. Simplify the rational expression: .

Q. 34. If x = 26/54, y = 28/54, then find the value of .

Q. 35. Simplify the rational expression: .