SOLUTION: Simpliy: This is so complicated please help. 2/z^2 - 3/2 / 2/5z^2 + 1/3z

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Question 63173: Simpliy: This is so complicated please help.
2/z^2 - 3/2 / 2/5z^2 + 1/3z
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
2%2Fz%5E2 - 3%2F2
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2%2F5z%5E2 + 1%2F3z
:
Get the numerator into a single fraction, common denominator is 2z^2
giving you:
2%2Fz%5E2 - 3%2F2 = %282%282%29+-+3z%5E2%29%2F2z%5E2 = %284+-+3z%5E2%29%2F2z%5E2
:
Do the same with the denominator, common denominator 15z^2
2%2F5z%5E2 + 1%2F3z = %283%282%29+%2B+5z%29%2F15z%5E2 = %286+%2B+5z%29%2F15z%5E2
:
Remember when we divide we invert the dividing fraction and mult so we have:
%284+-+3z%5E2%29%2F2z%5E2 * 15z%5E2%2F%286%2B5z%29
:
We can cancel the z^2 which are in the single terms:
%284+-+3z%5E2%29%2F2 * 15%2F%286%2B5z%29 = %2815%284-3z%5E2%29%29%2F%282%286%2B5z%29%29 = %2860-45z%5E2%29%2F%2812%2B10z%29 about as far as we can go with it.
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Could you follow all this? Study each step and it will make sense to you. good luck!