Another gcse maths q help please!

Simplify fully

x^2 + x - 6 / x^2 - 7x + 10

Thanks

You need to factorize the top and bottom part of this expression, with a view to finding a common term that will cancel itself out, as follows:

(x + 3)(x - 2)
-------------------
(x - 5)(x - 2)

As you can see, (x - 2) is common to both the top and bottom parts, so it cancels itself out leaving just:

x + 3
--------
x - 5

If you mean (x^2 + x - 6) / (x^2 - 7x + 10) than...

(x^2 + x - 6) / (x^2 - 7x + 10) = ((x - 2) (x + 3)) / ((x - 2) (x - 5)) = (x +3) / (x + 5)