m-2 m+5

--- * ----
m-5 m-2
*I got :
m+5
----
m-5

you're absolutely correct. the m-2's cancel out and you're left with m+5/m-5

thank you hopefully you can help me with the others...

I'm glad to hear that you understood the solution to the previous problem! I'd be happy to help you with any other questions you have.

For this specific problem, you correctly simplified the expression:

(m - 2) / (m - 5) * (m + 5) / (m - 2)

By canceling out the common factor (m - 2) in the numerator and denominator, you simplify the expression to:

(m + 5) / (m - 5)

This is the final simplified form of the expression. Well done! If you have any other questions, feel free to ask.