Mathematics
Find the partial fraction decompostion of the rational function

Question Description

8 divided by ( x minus 1)(x plus1)       8/(x-1)(x+1)

Final Answer

8/(x-1)(x+1)

step 1_  8/(x-1)(x+1) = A/(x-1) + B/(x+1)...................1

step 2_   multiply (x-1)(x+1) on both sides, we get

step 3_   8 = A(x+1) + B(x-1)

step 4_   put   x+1=0   or   x = -1 we get

step 5_   8 = A(-1+1) + B(-1-1)

step 6_   8 = A(0) + B(-2)

step 7_   8 = -2B

Step 8_  Divide by -2 on both sides, we get

step 9_  B = -4

step 10_  put  x-1=0  or  x=1  we get

step 11_  8 = A(1+1) + B(1-1)

step 12_   8 = 2A + B(0)

step 13_  8 = 2A

step 14_  Divide by 2 on both sides we get

step 15_   A = 4

step 16_   now put the values of A and B in equation 1, we get

step 17_   8/(x-1)(x+1) = 4/(x-1) - 4/(x+1)

HENCE ,  WE GET 

               8/(x-1)(x+1)  =  4/(x-1) - 4/(x+1)

University of Virginia

Anonymous
Solid work, thanks.

Anonymous
The tutor was great. I’m satisfied with the service.

Anonymous
Goes above and beyond expectations !

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors