Help me finish this problem....Cant factor by grouping, what other method?

Help me finish this problem....Cant factor by grouping, what other method?

- stapel_eliz
**Posts:**1686**Joined:**Mon Dec 08, 2008 4:22 pm-
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It looks like the image displays the following:

To simplify, you appear to be multiplying, top and bottom, by the LCM of the various denominators, being:

After multiplying, you get:

So I get the same products that you did. Then:

Each of the numerator and denominator can be factored, but nothing cancels. You can factor the numerator easily, as you have already displayed. You'll need to use**the Rational Roots Test** to factor the denominator, and then the remaining quadratic is prime.

So the above is as "simplified" as you can get.

To simplify, you appear to be multiplying, top and bottom, by the LCM of the various denominators, being:

After multiplying, you get:

So I get the same products that you did. Then:

Each of the numerator and denominator can be factored, but nothing cancels. You can factor the numerator easily, as you have already displayed. You'll need to use

So the above is as "simplified" as you can get.

Thanks for the quick reply!!! I think the reason I was confused with factoring the denominator is because my book does not refer to the rational roots test in prior sections, so I would never had known how to factor it anyway. Thus far it has only demonstrated factoring by common monomial, special products, grouping, and the AC method.

- stapel_eliz
**Posts:**1686**Joined:**Mon Dec 08, 2008 4:22 pm-
**Contact:**

Long story short: While you should *expect* to need to factor and simplify this sort of expression on your next test (it's a common "trick"), it is a fact that *most* of these expressions do not in fact simplify further. Don't be surprised *when* most of them don't!

*P.S. Thank you for showing your work so nicely!!!*