(−5t3+4t2−t)−(8t2+t)

Jasonbradley

2 min read

·

Jun 17, 2024

20

Share

Simplifying the Expression: (-5t^3 + 4t^2 - t) - (8t^2 + t)

In algebra, simplifying expressions involves combining like terms and removing parentheses. Let's break down the process of simplifying the expression (-5t^3 + 4t^2 - t) - (8t^2 + t).

Understanding the Terms

• Like terms are terms that have the same variable and exponent. For example, 4t^2 and 8t^2 are like terms.
• Parentheses indicate that the terms inside need to be treated as a single unit.

Simplifying the Expression

1. Distribute the negative sign: The minus sign in front of the second set of parentheses indicates we need to multiply each term inside the parentheses by -1.

   (-5t^3 + 4t^2 - t) - (8t^2 + t) = -5t^3 + 4t^2 - t - 8t^2 - t

2. Combine like terms: Now, we combine the terms with the same variable and exponent.

   -5t^3 + (4t^2 - 8t^2) + (-t - t) = -5t^3 - 4t^2 - 2t

Final Result

The simplified form of the expression (-5t^3 + 4t^2 - t) - (8t^2 + t) is -5t^3 - 4t^2 - 2t.