Answer :

Alright, let's carefully evaluate the expression [tex]\( x - x^2 + x^3 - x^4 \)[/tex]. To understand it better, we'll break down each term step-by-step and then combine them.

1. Start with the given expression:
[tex]\[ x - x^2 + x^3 - x^4 \][/tex]

2. The expression can be rearranged and simplified by combining like terms, but in this case, there are no further simplifications possible because each term has a different exponent.

Thus, the final simplified expression is:

[tex]\[ -x^4 + x^3 - x^2 + x \][/tex]