3/x-3 - 5/x-2 can someone explain how to simplify into one fraction please?

Answer 1

To simplify these two fractions, we need to find a common denominator. The denominators are x-3 and x-2, so the common denominator is (x-3)(x-2).

Next, we need to rewrite each fraction with this common denominator.

3/(x-3) becomes:

3(x-2)/[(x-3)(x-2)]

And 5/(x-2) becomes:

5(x-3)/[(x-3)(x-2)]

Now we can combine the two fractions by adding the numerators:

3(x-2) - 5(x-3) = -2x + 9

So the simplified expression is:

(-2x + 9)/[(x-3)(x-2)]

Answer 2

Thank you

Answer 3

You're welcome! If you have any other questions or confusions, feel free to ask.

Answer 4

How about
9/x-1 + 5/x+4

Answer 5

To simplify these two fractions, we need to find a common denominator. The denominators are x - 1 and x + 4, so the common denominator is (x - 1) * (x + 4).

Next, we need to rewrite each fraction with this common denominator.

9/(x - 1) becomes:

9(x + 4)/[(x - 1) * (x + 4)]

5/(x + 4) becomes:

5(x - 1)/[(x - 1) * (x + 4)]

Now we can combine the two fractions by adding the numerators:

9(x + 4) + 5(x - 1) = 14x + 31

So the simplified expression is:

(14x + 31)/[(x - 1) * (x + 4)]