Sure, let's solve the given expression step by step. The expression we have is:
[tex]\[ 2x^2 - 3x^3 - 8 - 5xy \][/tex]
First, let's identify and rearrange the terms in a standard polynomial order. Polynomials are typically written from the highest degree term to the lowest degree term. Here are the terms:
- [tex]\( -3x^3 \)[/tex]: This is the cubic term.
- [tex]\( 2x^2 \)[/tex]: This is the quadratic term.
- [tex]\( -5xy \)[/tex]: This is the mixed term involving both [tex]\( x \)[/tex] and [tex]\( y \)[/tex].
- [tex]\( -8 \)[/tex]: This is the constant term.
Now, let's write down the expression in this standard order:
[tex]\[ -3x^3 + 2x^2 - 5xy - 8 \][/tex]
So, the simplified and ordered form of the expression is:
[tex]\[ \boxed{-3x^3 + 2x^2 - 5xy - 8} \][/tex]
That's the step-by-step simplification and rearrangement of the given polynomial expression.
