SOLUTION: if a= b-1/b+1 and b= 1/1c² express a in terms of c.

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Question 1190750: if a= b-1/b+1 and b= 1/1c² express a in terms of c.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume it is:
if a=+%28b-1%29%2F%28b%2B1%29 and b=+1%2F%281c%5E2%29 express a in terms of c.
:
The "1" in the denominator of the b= expression is meaningless so write it
a=+%28b-1%29%2F%28b%2B1%29 and b=+1%2F%28c%5E2%29
substitute 1/c^2 for b
a+=+%28%281%2Fc%5E2%29-1%29%2F%28%281%2Fc%5E2%29%2B1%29
which is
a+=+%28%281-c%5E2%29%2Fc%5E2%29%2F%28%281%2Bc%5E2%29%2Fc%5E2%29
dividing fractions, invert the dividing fraction and multiply
a+=+%28%281-c%5E2%29%2Fc%5E2%29%2A%28c%5E2%2F%281%2Bc%5E2%29%29
cancel c^2
a+=+%28%281-c%5E2%29%2F%281%2Bc%5E2%29%29