Express 4x/(x^2-9) - 2/(x+3) as a single fraction in its simplest form.

To satisfy the condition of substracting two fractions with unlike denominators, a common denominator needs to be found. By recognizing x^2 - 9 = (x-3)(x+3), we can rewrite the question as 4x/(x-3)(x+3) - [2/(x+3)] * [(x-3)/(x-3) ]= [4x-2(x-3)]/[(x+3)(x-3)] = 2(x+3)/(x+3)(x-3) = 2/(x-3)The answer is 2/(x-3).

YC
Answered by Ye C. Maths tutor

5907 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

I don't understand differentiation. How does it work?


1. (a) Find the sum of all the integers between 1 and 1000 which are divisible by 7. (b) Hence, or otherwise, evaluate the sum of (7r+2) from r=1 to r=142


The curve y = 4x^2 + a/x +5 has a stationary point. Find the value of the positive constant 'a' given that the y-coordinate of the stationary point is 32. (OCR C1 2016)


Find the set of values of x for which 3x^2+8x-3<0.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning