# SOLUTION: Simplify x^2-9 ----- x^2-6+9

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 347460: Simplify x^2-9 ----- x^2-6+9Answer by jsmallt9(3438)   (Show Source): You can put this solution on YOUR website!To simplify (or reduce) a fraction, you look for common factors to cancel. This has been true since the "good old days" of fractions like 2/4. The only thing different with fractions like is that finding the factors is harder. Your numerator, is a difference of squares (since so it can be factored using the pattern for a difference of squares, , with "a" being x and "b" being 3. So your nuerator factors into (x+3)(x-3). In the denominator, we look for factors of 9 that add up to -6. The only pair of factors of 9 that add up to -6 are: -3 and -3. So the denominator factors into: So the factored fraction is: We can now see that there is a common factor, (x-3), that we can cancel: leaving which is the simplified/reduced fraction. (Don't try to cancel an x or a 3 here. They are not factors and only factors can be canceled!)