For this question would u have to write it in a factorised term like 4(5t+4c) or

It's irrelevant.

Step-by-step explanation:

20 theater tickets cost 20T, 16 cinema tickets cost 16C.

Their sum is 20T+16C

You can factor a 4 out of this expression to get 4(5T+4C).

The two expressions are completely equivalent: there is no reason, in general, to prefer 20T+16C or 4(5T+4C).

Sometimes, the exercise may ask explicitly for the factored form.

In other cases, one of the two expression might be more useful: if you had to divide everything by 2, of course it's easier to write

If instead you had to subtract 10T, it would be more useful to write

To recap, 20T+16C and 4(5T+4C) are completely equivalent, and unless you have explicit requests, you may prefer one or the other depending on the calculations you have to do.