((2x)/(x-1)) - (9/(x-2))

Question

Is the answer (2x^2 - 13x + 9)/(x^2 - 3x + 2), or can it be simplified further?

Answer 1

2 x / ( x - 1 ) - 9 x / ( x - 2 ) =

[ 2 x ( x - 2 ) - 9 x ( x - 1 ) ] / [ ( x - 1 ) ( x - 2 ) ] =

[ 2 x * x + 2 x * ( - 2 ) - 9 x * x - 9 x * ( - 1 ) ] / ( x ^ 2 - 3 x + 2 ) =

( 2 x ^ 2 - 4 x - 9 x ^ 2 + 9 x ) / ( x ^ 2 - 3 x + 2 ) =

( - 7 x ^ 2 + 5 x ) / ( x ^ 2 - 3 x + 2 ) =

- ( 7 x ^ 2 - 5 x ) / ( x ^ 2 - 3 x + 2 ) =

- x ( 7 x - 5 ) / ( x ^ 2 - 3 x + 2 ) =

Answer 2

It is 9, not 9x.