Please Simplify: (2x^2+3x/(2x+3)(x-2))-(6/x^2-x-2))

Factorise both parts of the question. Our left side would become x(2x+3)/(2x+3)(x-2) and our right side would become 6/(x+1)(x-2). On our LHS the (2x+3) would cancel leaving x/x-2. In order to merge the fraction together, the denominators need to be the same. You should multiply the LHS by (x+1). After doing this, the denominators will match and therefore you can merge them. After merging the two denominators you get x^2+x-6/(x-2)(x+1). If you factor the numerator you get (x-2)(x+3). Then, the (x-2) cancels out and you are left with (x+3)/(x+1) 

OG
Answered by Omar G. Maths tutor

6313 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve has equation y = x^3 - 6x^2 - 15x. The curve has a stationary point M where x = -1. Find the x-coordinate of the other stationary point on the curve.


How do you find the coordinates of stationary points on a graph?


How do I remember the coefficients of a Taylor expansion?


Given f(x) = 7(e^2x) * (sin(3x)), find f'(x)


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences