Question

How do you simplify `2/(x-1)-3/x`?

Answer 1

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

Explanation:

Adding algebraic fractions `rarr` Find the common denominator first.

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

= `(2x - 3(x-1))/(x(x-1)) " "larr "multiply out the bracket on top"`

=`(2x-3x+3)/(x(x-1)) " "larr" collect like terms"`

=`(-x+3)/(x(x-1))`