How do you add 3/(x+2) + 6/(x-1)?

Question

How do you add 3/(x+2) + 6/(x-1)?

Answer 1

get a common denominitor. multiply the first term by (x-1)/(x-1).  then multiply the second term by (x+2)/(x+2).

So, the common denominator is (x+2)(x-1)

then, add the numerators together, and simplify

the answer is:

9x+11

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(x+2)(x-1)