Question

Please answer correctly!!!!!!!!

Answer 1

Please, see the attached files.

Explanation:

Please, see the attached files.

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Answer 2

QUESTION 1

The given expression is

`(x-2)+(6)/(x-2)`

We collect LCM to get,

`((x-2)(x-2)+1(6))/(x-2)`

We expand bracket to get,

`(x^2-2x-2x+4+6)/(x-2)`

We simplify to get,

`(x^2-4x+10)/(x-2)`

Therefore

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

QUESTION 2

The given expression is

`(x+3)+(10)/(x-2)`

We collect LCM to get,

`((x+3)(x-2)+1(10))/(x-2)`

We expand bracket to get,

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

We simplify to get,

`(x^2+x+4)/(x-2)`

Therefore

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

QUESTION 3

The given expression is

`(x+1)+(6)/(x-2)`

We collect LCM to get,

`((x+1)(x-2)+1(6))/(x-2)`

We expand bracket to get,

`(x^2+x-2x-2+6)/(x-2)`

We simplify to get,

`(x^2-x+4)/(x-2)`

Therefore

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

QUESTION 4

The given expression is

`(x-3)+(10)/(x-2)`

We collect LCM to get,

`((x-3)(x-2)+1(10))/(x-2)`

We expand bracket to get,

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

We simplify to get,

`(x^2-5x+16)/(x-2)`

Therefore

`(x-3)+(10)/(x-2)\rightarrow (x^2-5x+16)/(x-2)`