SOLUTION: Please help me. I really do not understand this. Thanks! Add simplify if possible 6z/z^2-36+z/z-6 (these are factions not dividing) Factor completely 25s^2-121

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Question 238557: Please help me. I really do not understand this. Thanks!
Add simplify if possible
6z/z^2-36+z/z-6 (these are factions not dividing)
Factor completely
25s^2-121

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Add simplify if possible
;
+
The 1st denominator is the "difference of squares" and can be factored to
+
(z-6)(z+6) would be the common denominator so we have:
= = =
:
:
Factor completely
25s^2 - 121
Both 25 and 121 are perfect squares, you should recognize this as the "difference of squares"
(5s - 11) (5s + 11)
:
Check this by FOILing
25s^2 + 55s - 55s - 121
Middle terms cancel
25s^2 - 121

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