Are these right?

xy - 3x - 8y + 24
(3x-y)-(8y+24)
8y+24

4x^2 + 20x + 5y +xy
36x+(5y+x)
36x-5y

I don't think so it's right.Your question xy-3x-8y+24 is itself the answer.It cannot be further calculated bcause it doesn't have the terms containing the same variables.

If you are factoring then no. Using the commutative and associative properties I can rewrite the equation:
xy - 3x - 8y +24
xy -8y -3x +24
y(x-8) -3(x-8) -factor by grouping
(x-8)(y-3) factor out the (x-8)

Sorry forgot to answer the second one for you. You use the same techniques.

4x^2+20x+5y+xy
4x^2+20x+xy+5y
4x(x+5)+y(x+y)
(x+5)(4x+y)

The first equation xy - 3x - 8y + 24 cannot be further simplified because it doesn't have terms containing the same variables. It is already in its simplest form.

For the second equation (3x-y)-(8y+24), you can simplify it by removing the parentheses and combining like terms.

(3x - y) - (8y + 24)
3x - y - 8y - 24
-9y + 3x - 24

For the third equation 8y + 24, it is already in its simplest form and cannot be further simplified.

For the fourth equation 4x^2 + 20x + 5y + xy, you can simplify it by rearranging the terms and factoring out common factors.

4x^2 + 20x + xy + 5y
4x(x + 5) + y(x + 5)
(x + 5)(4x + y)

For the fifth equation 36x + (5y + x), you can simplify it by rearranging the terms and combining like terms.

36x + (5y + x)
36x + 5y + x
37x + 5y

For the sixth equation 36x - 5y, it is already in its simplest form and cannot be further simplified.