Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  3. Maths AQA
  5. Question bank

1.5.6 Polynomials and rational expressions

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475
Question 42
a.

Given that nnn is a positive integer, express

52+3n−53n−2 \frac{5}{2+3\sqrt{n}} - \frac{5}{3\sqrt{n}-2} 2+3n​5​−3n​−25​

as a single fraction not involving surds.

[5]
b.

Hence, deduce that

52+3n−53n−2 \frac{5}{2+3\sqrt{n}} - \frac{5}{3\sqrt{n}-2} 2+3n​5​−3n​−25​

is a rational number for all positive integer values of nnn.

[2]

1.5.6 Polynomials and rational expressions Questions

  1. A Level
  2. /Maths
  3. /1.5.6 Polynomials and rational expressions