Express 1/(x(1-3x)) in partial fractions.

1/(x(1-3x))= A/x+ B/(1-3x) 1= A(1-3x) + B(1-3x)

when x=0    1=A

when x= 1/3     1=B/3 so B=3

1/(x(1-3x))= 1/x + 3/(1-3x)

LB
Answered by Laura B. Maths tutor

9116 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is the equation of the curve that has gradient dy/dx=(4x-5) and passes through the point (3,7)?


Find the equation of the tangent line to the curve y = 2x^2 - 4x + 3 at the point (3,9)


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


Show that the derivative of ln(x) = 1/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