- #1
WK95
- 139
- 1
Homework Statement
Find Partial Fraction Decomposition of
##(x^4 - 1) / (x^3 + x^2 + x)##
Homework Equations
The Attempt at a Solution
##(x^4 - 1) / (x^3 + x^2 + x) = (x^4 - 1) / (x)(x^2 + x + 1) = A/x + B/(x^2 + x + 1)##
##(x^4 - 1) = A(x^2 + x + 1) + B(x)##
##(x^4 - 1) = Ax^2 + Ax + A + Bx##
##(x^2 - 1)(x^2 + 1) = Ax^2 + A + Ax + Bx##
##(x^2 - 1)(x^2 + 1) = A(x^2 + 1) + x(A + B)##