SOLUTION: i need to show all my work when completing this problem. I tried but i cant figure out how to get the denominators the same. here is the problem. please add these to together. x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: i need to show all my work when completing this problem. I tried but i cant figure out how to get the denominators the same. here is the problem. please add these to together. x      Log On


   



Question 637055: i need to show all my work when completing this problem. I tried but i cant figure out how to get the denominators the same. here is the problem. please add these to together.
x^2-49/2x-1 + x^2-14x+49/1-2x

Found 2 solutions by josmiceli, solver91311:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The key to this is the fact that
+2x+-+1+=+-%28+1+-+2x+%29+
and, since +a%2F%28-b%29+=+-%28a%2Fb%29+,
you can rewrite this as:
+%28x%5E2-49%29+%2F+%28+2x+-+1%29+-+%28x%5E2-14x%2B49%29+%2F+%282x+-+1%29+
Factoring the polynomials:

+%28%28+x+-+7+%29+%2F+%28+2x+-+1+%29%29+%2A+%28+x+%2B+7+-%28+x+-+7+%29+%29+
+%28%28+x+-+7+%29+%2F+%28+2x+-+1+%29%29+%2A+%28+x+%2B+7+-+x+%2B+7+%29+
+14%2A%28+x+-+7+%29+%2F+%28+2x+-+1+%29+
You could take it further, too
+%28+14x+-+98+%29+%2F+%28+2x+-+1+%29+=+7++-+91%2F%28+2x+-+1+%29+

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Note that

So



John

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