(−t4−5t3−10t2)+(9t3+3t2−1)

Jasonbradley

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Jun 17, 2024

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Simplifying Polynomial Expressions

In mathematics, simplifying polynomial expressions often involves combining like terms. Let's examine the expression:

(−t⁴−5t³−10t²) + (9t³+3t²−1)

To simplify this, we can follow these steps:

1. Identify like terms:

   • t⁴ terms: -t⁴
   • t³ terms: -5t³, 9t³
   • t² terms: -10t², 3t²
   • Constant terms: -1

2. Combine like terms:

   • -t⁴ remains the same since there are no other t⁴ terms.
   • -5t³ + 9t³ = 4t³
   • -10t² + 3t² = -7t²
   • -1 remains the same.

3. Write the simplified expression:

-t⁴ + 4t³ - 7t² - 1

Therefore, the simplified form of the given polynomial expression is -t⁴ + 4t³ - 7t² - 1.