Question

Match the rational expression

Answer 1

Explanation:

`1) (x-2)+(6)/(x-2) \\=((x-2)(x-2)+6)/(x-2)\\ =(x^(2)-4x+4+6)/(x-  2)\\=(x^(2)-4x+10)/(x-2)`

`2)(x+3)+(10)/(x-2) \\=((x+3)(x-2)+10)/(x-2)\\ =(x^(2)+3x-2x-6+10)/(x-2)\\=(x^(2)+x+4)/(x-2)`

`3)(x+1)+(6)/(x-2) \\=((x+1)(x-2)+6)/(x-2)\\ =(x^(2)-2x+x-2+6 )/(x-2)\\=(x^(2)-x+4)/(x-2)`

`4)(x-3)+(10)/(x-2) \\=((x-3)(x-2)+10)/(x-2)\\ =(x^(2)-3x-2x+6+10 )/(x-2)\\=(x^(2)-5x+14)/(x-2)`