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sqdancefan

Simplification of such an expression can be accomplished by canceling like factors. Canceling like terms is not an operation that makes any sense in this context. It is a mistake to subtract like terms from numerator and denominator.

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This expression cannot be simplified.

apologiabiology

the mistake was in the 3rd line: cancelng the like terms x^2.


you have to cancel factors

example: [tex]\frac{x^2+7x+12}{x^2+2x-8}=[/tex] [tex]\frac{(x+4)(x+3)}{(x+4)(x-2)}=(\frac{x+4}{x+4})(\frac{x+3}{x-2})=[/tex] [tex](1)(\frac{x+3}{x-2})=[/tex] [tex]\frac{x+3}{x-2}[/tex]

you cannot do [tex]\frac{x^2+7x+12}{x^2+2x-8}=\frac{7x+12}{2x-8}[/tex]

if you were to evaluate it, you would get different answers



The mistake was that Micah did not factor to make 'ones' and cancel terms.

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