Express 3x+1/(x+1)(2x+1) in partial fractions

3x+1/(x+1)(2x+1)=A/(x+1) + B/(2x+1)Multiply equation by (x+1) and (2x+1) to get:3x+1= A(2x+1) + B(x+1)Let x=-1 (x+1=0 so x=-1) sub into new equation. -2= A(-1) + B (x+1)-2=-AA=2Let x=-1/2 and sub into same equation. -1/2 = A(0) + B(1/2)-1/2=1/2BB=-1Therefore 3x+1/(x+1)(2x+1) = 2/(x+1) - 1/(2x+1)

Answered by Niamh M. Maths tutor

5349 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate xcos(x) with respect to x.


Determine the coordinates of all the stationary points of the function f(x) = (1/3)*x^3+x^2-3*x+1 and state whether they are a maximum or a minimum.


What is the differential of (14x^3-3x^2)^3


Given that y = x^4 + x^(1/3) + 3, find dy/dx


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences