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Format the following expression so that it is easier to read.
Fix any grammar or spelling errors.
Remove phrases that are not part of the expression.
Do not remove or change LaTeX formatting.
Do not change or remove [tex] [/tex] tags.
If the expression is nonsense, rewrite it so that it makes sense.
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Response:
[tex] 2x^2 - 3x^3 - 8 - 5xy [/tex]

Sagot :

GinnyAnswer
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.
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