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

1/(1+2x)(1-x)=(A/(1+2x))+(B/(1-x))1=A(1-x)+B(1+2x) Now set the bracket of one of A or B equal to 0 to get an equation with 1 unknown.Set x=11=A(1-1)+B(1+2(1))1=A(0)+B(3)1=3BB=1/3Set x=-(1/2)1=A(1-(-1/2))+B(1+2(-1/2))1=A(3/2)+B(0)1=A(3/2)A=2/3(2/3(1+2x)) + (1/3(1-x))

LC
Answered by Luke C. Maths tutor

3712 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The equation " x^3-3x+1=0 " has three real roots. Show that one of the roots lies between −2 and −1


Show that the funtion (x-3)(x^2+3x+1) has two stationary points and give the co-ordinates of these points


Simplify the following C4 question into it's simplest form: (x^4-4x^3+9x^2-17x+12)/(x^3-4x^2+4x)


Common mistakes made in A-Level exams


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