Express (9x^2 + 43x + 8)/(3+x)(1-x)(2x+1) in partial fractions.

A/(3+x) + B/(1-x) + C/(2x+1) = (9x^2 + 43x + 8)/(3+x)(1-x)(2x+1)So... A(1-x)(2x+1) + B(3+x)(2x+1) + C(3+x)(1-x) = (9x^2 + 43x + 8)Insert x=1Equation becomes 12B = 60 so B = 5.Then insert x=-3Equation becomes -20A = -40 so A = 2Then insert x = -0.5Equation becomes 3.75C = -11.25 so C = -3.
So answer is 2/(3+x) + 5/(1-x) - 3(2x+1).

AV
Answered by Abhik V. Maths tutor

6291 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the binomial expansion of (-8+4x)^(2/3) up to and including the term in x^2.


Find two positive numbers whose sum is 100 and whose product is a maximum.


f(x) = 2 / (x^2 + 2). Find g, the inverse of f.


Find the equation of the tangent to: y = X^2 + 3x + 2 at the point (2,12)


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