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# Simplify Rational Expressions

2x+8/x^2-16

### Comments for Simplify Rational Expressions

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 Feb 01, 2010 Rating Simplify Rational Expressions by: Karin In order to simplify this expression, you will need to factor the numerator and the denominator.You can simplify the numerator by using the greatest common factor. 2x + 8 - the common factor is 2 so if you factor out 2, you would get: 2(x+4) (This is your new numerator)Then factor the denominator. To factor the denominator you are essentially factoring a trinomial that has 0x as it's middle term. When you factor the denominator you get:(x + 4) (x - 4) So, now we have:2(x+4)(x+4)(x-4)Since (x+4) is in the numerator and the denominator, they equal 1 so we can cross them out and we are left with: 2x-4I do not have a complete lesson on simplifying rational expressions yet; however, I do have a few lessons on factoring that may help you. I hope this explanation helps you.All the best, Karin

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