Question

How do you simplify `3/(x-3) - 1/x`?

Answer 1

`(2x+3)/(x(x-3)`

Explanation:

Adding algebraic fractions is the same as adding arithmetic ones.
Find the common denominator which will be `(x(x-3))`and make equivalent fractions.

`(3/((x-3)) xx x/x) - (1/x xx ((x-3))/((x-3)))`

=`(3x - (x-3))/(x(x-3))`

=`(3x -x+3)/(x(x-3))`

=`(2x+3)/(x(x-3)`