(−t4−5t3−10t2)+(9t3+3t2−1)

less than a minute read Jun 17, 2024
(−t4−5t3−10t2)+(9t3+3t2−1)

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.

Related Post


Featured Posts