Question

Simplify into one fraction.
start fraction 3 over x minus 3 end fraction minus start fraction 5 over x minus 2 end fraction

Answer 1

= (3/(x-3)) - (5/(x-2))

To combine the fractions, we need a common denominator. The common denominator is (x-3)(x-2).

= (3(x-2)/((x-3)(x-2))) - (5(x-3)/((x-3)(x-2)))
= (3x - 6)/((x-3)(x-2)) - (5x - 15)/((x-3)(x-2))

Now, combine the fractions:

= (3x - 6 - 5x + 15)/((x-3)(x-2))
= (-2x + 9)/((x-3)(x-2))

So, the simplified expression is:

Answer: (-2x + 9)/((x-3)(x-2))