# SOLUTION: Simplify this rational expression please!!!! {{{M^2-p^2}}}/p-m What i did was i factored out the numerator to be (m-p)(m+p) and then i canceled out the denominator with the

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Simplify this rational expression please!!!! {{{M^2-p^2}}}/p-m What i did was i factored out the numerator to be (m-p)(m+p) and then i canceled out the denominator with the      Log On

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 242699: Simplify this rational expression please!!!! /p-m What i did was i factored out the numerator to be (m-p)(m+p) and then i canceled out the denominator with the numerator to equal m+p as my final answer and it was incorrect.Found 2 solutions by jsmallt9, Edwin McCravy:Answer by jsmallt9(3296)   (Show Source): You can put this solution on YOUR website!You were very close. Factor the numerator: The error was that (m-p) and (p-m) are not the same. You cannot cancel factors unless they are the same. But you may recognize that (m-p) and (p-m) are negatives of each other. (Think about this and it will make sense.) So if we factor out a -1 from one of them then we will have matching factors to cancel: which simplifies to or Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!``` Here is the correct way to handle what is called "reversed differences", in this case and . You agree that and are not the same quantity, right? Now you got that far. But you cannot cancel and . They are DIFFERENT quantities, just as and are different quantities. Here is the way to handle it. Write the second term first and the first term second, that is, write as . Then you have Now factor out of , like this . When you factor out -1 it changes both signs inside: Now you can cancel the 's and you end up with or Edwin```