(−t3+5t2−6t)+(8t2−8t)

less than a minute read Jun 17, 2024

Simplifying the Expression: (-t³ + 5t² - 6t) + (8t² - 8t)

This expression involves combining like terms, which are terms with the same variable and exponent. Here's how we can simplify it:

1. Identify Like Terms:

-t³: This term has no other like terms in the expression.
5t² and 8t²: Both have the variable 't' raised to the power of 2.
-6t and -8t: Both have the variable 't' raised to the power of 1.

2. Combine Like Terms:

-t³: Remains the same.
5t² + 8t² = 13t²
-6t - 8t = -14t

3. Final Simplified Expression:

The simplified expression is -t³ + 13t² - 14t.

Summary

By identifying and combining like terms, we were able to simplify the expression from a long series of terms to a more concise form. This process is crucial for solving equations, simplifying algebraic expressions, and performing other mathematical operations.