SOLUTION: Please help me understand how to do this.. Perform the indicated operations and simplify the following expression: 2z-1/z^2+z-6 - 3z-5/z^2-2z-15 + 2z-3/z^2-7z+10

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me understand how to do this.. Perform the indicated operations and simplify the following expression: 2z-1/z^2+z-6 - 3z-5/z^2-2z-15 + 2z-3/z^2-7z+10      Log On


   



Question 631776: Please help me understand how to do this..
Perform the indicated operations and simplify the following expression:
2z-1/z^2+z-6 - 3z-5/z^2-2z-15 + 2z-3/z^2-7z+10

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,

much like one like this z%2F2+-+%28z-1%29%2F5+%2B+%282z%2B1%29%2F3 1st step is to find the Lowest Common Denominator
Exploring the Denominators and factoring them:
(z^2+z-6) ⇒ (z+3)(z-2)
(z^2-2z-15) ⇒ (z-5)(z+3)
(z^2-7z+10) ⇒ (z-5)(z-2)
LCD is (z+3)(z-2)(z-5)

Simplify the Numerator and Your done.