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Quick assistance needed for simplifying a rational equation

I'm apparently in Math 125 and dealing with Rational functions, I already hit a brick wall. Here's the picture I attached of the problem I'm trying to simplify along with the answer that was wrong. Maybe there is something I missed?

I basically multiplied the two denominators to each side along with the numerators, did all the distributing, and combined like terms to get my simplified version.

It's been a long time. (Shake) Any help would be appreciated.

Re: Quick assistance needed for simplifying a rational equation

Quote:

Originally Posted by

**JacobD94** I basically multiplied the two denominators to each side along with the numerators, did all the distributing, and combined like terms to get my simplified version.

Notice that $\displaystyle x^2+6x+8=(x+4)(x+2)$

so when adding we get $\displaystyle \frac{4+6(x+4)}{x^2+6x+8}$

Re: Quick assistance needed for simplifying a rational equation

Thanks! It's been a while, that means I'll have to review polynomial rules. :)