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Answer :
The provided expression -12x⁷ + 31x⁵ - 9x³ is simplified and organized in descending order of exponents. There is no need for additional simplification.
Step 1: Start with the Expression
The expression we're given is:
-12x⁷ + 31x⁵ - 9x³
Step 2: Identify Like Terms
Like terms are those that have the same variable raised to the same power (exponent). In this case, we have:
Terms with x⁷: -12x⁷
Terms with x⁵: 31x⁵
Terms with x³: -9x³
Step 3: Combine Like Terms
Since there are no terms with the same exponent besides their own group, we cannot combine any further.
The expression is already in its most simplified form.
Therefore, the simplified expression remains:
-12x⁷ + 31x⁵ - 9x³
In conclusion, there are no like terms to combine in the given expression. It is already in its most simplified form.
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