Question

How do you simplify `6x^2 - 7x + 2 div 6x^2 + 5x - 6`?

Answer 1

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

Explanation:

Given `6x^2-7x+2 -: 6x^2+5x-6`

`rArr [6x^2-(4+3)x+2]/[6x^2+(9-4)x-6]`

`rArr [6x^2-4x-3x+2]/[6x^2+9x-4x-6]`

`rArr [2x(3x-2)-1(3x-2)]/[3x(2x+3)-2(2x+3)]`

`rArr[(3x-2)(2x-1)]/[(3x-2)(2x+3)]`

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