When you factor by grouping, should the binomials match up in the second to last step?

Question

In problems like 2x^2+3n-9 I keep getting x(x+6)-3(x-3) but don't know if its right or where to go from there.

Answer 1

2x² + 3x - 9

2x² + 6x - 3x - 9

2x(x+3) - 3(x+3)

(2x-3)(x+3)