SOLUTION: Add (x � 7) / (x^2 � 16) + (x � 1) / (16 � x^2)

Question 215674This question is from textbook Intermediate Algebra
: Add (x � 7) / (x^2 � 16) + (x � 1) / (16 � x^2) This question is from textbook Intermediate Algebra

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

As you know, to add fractions we need common denominators. And we prefer the Lowest Common Denominator (LCD).

The key to finding the LCD of and is to recognize that they are negatives of each other! So we'll start by multiplying the numerator and denominator of the second fraction (or the first, it doesn't matter) by -1:

And with this simple step we have our common denominators! So we're ready to add. The x's in the numerators cancel out and we end up with:

This will not reduce so we are finished.

P.S. I don't know what you are using for minus signs but they really mess with Algebra.com's formula rendering software. Please use "normal" minus signs. On a PC keyboard it is right next to zero. Thanks.
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