Question

How do you evaluate `2- \frac { ( x - 5k ) ( x - k ) } { x ^ { 2} - 3k x + 2k ^ { 2} }`?

Answer 1

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

Explanation:

`2-[(x-5k)*(x-k)/(x^2-3kx+2k^2)]`

=`2-[(x-5k)(x-k)]/[(x-k)(x-2k)]`

=`2-(x-5k)/(x-2k)`

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