Final answer:
Factoring the given algebraic expression requires the application of trigonometric identities and potentially rewriting some terms. However, the provided expression is a bit unclear, in particular with what is meant by 'e', making factoring currently impossible without additional context.
Step-by-step explanation:
In this case, we're working with an algebraic expression involving trigonometric functions that we need to put in factored form.
To factor the algebraic expression 25tan^(2)x+(60)/(cotx)+36sinxcscx, we can apply fundamental identities and trigonometric formulas, but beforehand you should make sure that everything is expressed in terms of sine and cosine. Unfortunately, with the current expression, it's quite unclear what is meant by 'e' and as such, it isn't possible to put it into a factored form without a more accurate description or context.
Learn more about Factoring in Mathematics