Answers>Maths>A Level>Article

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

6714 Views

See similar Maths A Level tutors

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

Related Maths A Level answers

Given ∫4x^3+4e^2x+k intergrated between the bounds of 3 and 0 equals 2(46+e^6). Find k.

Find the general solution, in degrees, of the equation 2 sin(3x+45°)= 1

differentiate tanx

Points A and B have coordinates (–2, 1) and (3, 4) respectively. Find the equation of the perpendicular bisector of AB and show that it may be written as 5x +3 y = 10.