SOLUTION: Please help me solve for A and B. Answers are A=3, B=-7 but I do not know how they got that. Thanks! {{{ (2x-1)/(x+1)(3x+2)=(A/(x+1))+(B/(3x+2)) }}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me solve for A and B. Answers are A=3, B=-7 but I do not know how they got that. Thanks! {{{ (2x-1)/(x+1)(3x+2)=(A/(x+1))+(B/(3x+2)) }}}      Log On


   

Question 1152388: Please help me solve for A and B. Answers are A=3, B=-7 but I do not know how they got that. Thanks!
+%282x-1%29%2F%28x%2B1%29%283x%2B2%29=%28A%2F%28x%2B1%29%29%2B%28B%2F%283x%2B2%29%29+
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+%282x-1%29%2F%28x%2B1%29%283x%2B2%29=%28A%2F%28x%2B1%29%29%2B%28B%2F%283x%2B2%29%29+
-----------
Add the terms on the right side
A%2A%283x%2B2%29+%2B+B%2A%28x%2B1%29+=+2x-1 since the DENs are the same
3Ax+%2B+2A+%2B+Bx+%2B+B+=+2x-1
x*(3A + B) + 2A + B = 2x - 1
-----
3A + B = 2
2A + B = -1
etc
===================
Welcome to Heaviside Expansion.