2. Subtract

(2x+3)/(2x^2-7x-15)-(x+4)/(2x^2+11x+12)

Since we are subtracting fractions, we need common denominators. First let us factor both denominators.

We see that both of these fractions will reduce. If we reduce them we get

At this point, the product of these two denominators will be the smallest common denominator. When we cross multiply,

we see that it really didn't do any good to simplify the first fraction, because we had to put the factors that canceled back when we found common denominators. However, it does do some good to reduce the second fraction. We eliminate a factor from the denominators when we do that.

Now that we have common denominators, we subtract the numerators.

and get

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