# simplifying equation

• Jul 10th 2013, 10:18 AM
abdulrehmanshah
simplifying equation
how to simplify (2x+1)/(x-1)*(x+2)
to get {1/(x-1)}+{(1/(x+2)}
• Jul 10th 2013, 10:55 AM
$\frac{2x+1}{(x-1)(x+2)}=\frac{A}{x-1}+\frac{B}{x+2}$
$A(x+2)+B(x-1)=2x+1$
$x(A+B)+2A-B=2x+1$
Therefore $A+B=2$ and $2A-B=1$. Solve for A and B and plug the solutions back into $\frac{A}{x-1}+\frac{B}{x+2}$