Express 2/P(P-2) in Partial Fractions (C4)

To start off with let 2/P(P-2)=A/P + B/(P-2) making the RHS of the equation one fraction gives : (A(P-2)+B(P))/P(P-2). So now we can compare the numerators (as the denominators are the same): A(P-2)+B(P)=2. This equation holds for any value of P so we can choose certain values for P that will help us find A and B. When P=0, -2A=2, so A=-1, and when P=2, 2B=2, so B=1. Then replacing A and B with the values we just found into the original equation gives: 2/P(P-2)=1/(P-2) - 1/P

BH
Answered by Becky H. Maths tutor

8986 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate (x+2)/((x+5)(x-7)) using partial fractions between the limits 5 and -2, giving your answer to 3sf


How would I differentiate y = 3xy + 2x^2 + x^2y^2 ?


How do you avoid making silly mistakes in a maths exam?


Given that the graph f(x) passes through the point (2,3) and that f'(x)=6x^2-14x+3, find f(x).


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