Question 86120
1. How do I perform the indicated operation?

3       5
___ - ___
2b    3b^3
---------
lcd = 6b^3
Rewrite each fraction with the lcd as its denominator:
----------
= 9b^2/lcd - 10/lcd
------------
Combine the numerators to get:
= [9b^2-10]/6b^3
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2.  Subtraction:

   _____2x____  -    ___7___
   x^2-13x+42          x-6
----------
lcd = (x-6)(x-7)
Rewrite:
[2x/lcd] - [7(x-7)/lcd]
---------
Combine:
= [2x-7x+49]/lcd
= [-5x+49]/[x^2-13x+42]
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3. Find LCD:

_____7_____,   ___8___
a^2+2a-63        a+9
---------------
Rewrite:
7/[(a+9)(a-7)], 8/(a+9)
------------
LCD = (a+9)(a-7)
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4. Perform the indicated operation. Simplify if possible.

___6a^2-8a-8___   / ___a-2___
   2a^2-9a-56          a-8
---------
Factor where you can to get:
[2(a-2)(3a+2)/(a-8)(2a+7)]*[(a-8)/(a-2)]
Cancel where you can to get:

=[2(3a+2)/(2a+7)]
===================
Cheers,
Stan H.