Question

PLEASE HELP!

Drag the tiles to the correct boxes to complete the pairs.
Match the rational expressions to their rewritten forms.
Just Answer Please!

Answer 1

I'm pretty sure that is correct.

Explanation:

Answer 2

1.
`(x^2+4x-7)/(x-1)`

2.
`(x^2-2x+7)/(x-1)`

3.
`(2x^2-x-7)/(x-1)`

4.
`(2x^2-3x+7)/(x-1)`

Explanation:

1.
`(x+5) + (-2)/(x-1)`

Taking LCM

`=((x-1)(x+5)+(-2))/(x-1)\\ Solving:\\=frac{x(x+5)-1(x+5)-2}{x-1} \\=frac{x^2+5x-1x-5-2}{x-1} \\Adding\,\,like\,\,terms:\\=(x^2+4x-7)/(x-1)`

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

Taking LCM and solving

`=((x-1)(x-1)+6)/(x-1)\\=((x(x-1)-1(x-1)+6)/(x-1)\\=(x^2-1x-1x+1+6)/(x-1)\\Adding\,\,like\,\,terms:\\=(x^2-2x+7)/(x-1)`

3.
`(2x+1)+(-6)/(x-1)`

Taking LCM and solving:

`=((2x+1)(x-1)-6)/(x-1) \\=(2x(x-1)+1(x-1)-6)/(x-1) \\=(2x^2-2x+1x-1-6)/(x-1)\\Adding\,\,like\,\,terms:\\=(2x^2-x-7)/(x-1)`

4.
`(2x-1)+(6)/(x-1)`

Taking LCM and solving:

`=((2x-1)(x-1)+6)/(x-1) \\=(2x(x-1)-1(x-1)-6)/(x-1) \\=(2x^2-2x-1x+1+6)/(x-1)\\Adding\,\,like\,\,terms:\\=(2x^2-3x+7)/(x-1)`