polynomial division

John_K

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Jan 10, 2006
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At least I hope it is, anyway I'd appreciate some help with simplifying this:
\(\displaystyle \Large{\frac{x^2-18x-63}{x^2+24x+63}}\)

The answer is:
\(\displaystyle \Large{\frac{x-21}{x+21}\); \(\displaystyle x \neq -21,-3}\)

But I don't know how to get to it... I have more of these (like \(\displaystyle \frac{a^2-11a+28}{a^2-7a+12}\)), but I suppose it will be the same trick and hope I'll be able to figure the rest out if someone could tell me what the trick is :).
Thanks in advance.
 
\(\displaystyle \Large \mbox{ \frac{x^2 - 18x - 63}{x^2 + 24x + 63}}\)

Both quadratics can be factorised; the same goes for your other example.
 
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