6h^2 + 45h - 24

3(2h^2 + 15h - 8)

3(2h^2 + 1h + 16h - 8)

1h(2h + 1) + 8(2h + 1)

3(2h + 1) (1h + 8)

Is this correct?

If you multiply it out, you would will see that your answer is incorrect.

After
3(2h^2 + 15h - 8)
the next step should be
3(h + 8)(2h -1)