SOLUTION: x+1/x^2-16 divided by 5x+5/x+4

Question 387948: x+1/x^2-16 divided by 5x+5/x+4
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

As you learned long ago, you divide fractions by multiplying by the reciprocal of the divisor:

Again, as you learned long ago, you can cancel common factors in the numerators and denominators, even cross cancel between fractions, when you multiply. And doing so makes the rest of the problem easier. The difference now is that finding the common factors is more difficult and the rewards are even greater than they were before.

So the best next step is to factor each numerator and denominator:

We can now see pairs of factors that will cancel:

leaving:

which multiplies easily:

which simplifies to

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