Mnx+mny-mnz nx+ny-nc ad+ac mnx+mny+mnz ab-ac

To simplify the given expressions:

1. mnx + mny - mnz

Since all terms have the same variable (mn), we can factor it out:

= mn(x + y - z)

2. nx + ny - nc

Here, we can factor out the common variable (n):

= n(x + y - c)

3. ad + ac

Both terms have the common factor of a:

= a(d + c)

4. mnx + mny + mnz

Just like in the first expression, we can factor out mn:

= mn(x + y + z)

5. ab - ac

The two terms have the common factor of a:

= a(b - c)

Remember, simplifying an expression involves factoring out common factors and combining like terms if possible.