Answer:
(x+1)
Explanation:
6x^2 -6 3-3x
-------------- ÷ ---------
8x^2 +8x 4x^2 +4x
Copy dot flip
6x^2 -6 4x^2 +4x
-------------- *---------
8x^2 +8x 3-3x
Factor
6(x^2-1) 4x(x+1)
-------------- * ---------
8x(x+1) 3(x-1)
6(x-1)(x+1) 4x(x+1)
-------------- * ---------
8x(x+1) 3(x-1)
Cancel like terms
2(x-1) (x+1)
-------------- * ---------
2 (x-1)
(x+1)