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(3t - 3) + (6t2 + 4t + 13) + (-8t2 + 11t - 1)

2 min read Jun 16, 2024
(3t - 3) + (6t2 + 4t + 13) + (-8t2 + 11t - 1)

Simplifying Algebraic Expressions: A Step-by-Step Guide

This article will guide you through simplifying the algebraic expression (3t - 3) + (6t2 + 4t + 13) + (-8t2 + 11t - 1).

Understanding the Process

Simplifying an algebraic expression involves combining like terms. Like terms are terms that have the same variables and exponents.

Here's how to approach the simplification:

  1. Remove the parentheses. Since we are adding the expressions, the parentheses don't affect the order of operations. We can simply remove them:

    3t - 3 + 6t2 + 4t + 13 - 8t2 + 11t - 1

  2. Rearrange the terms. Group the like terms together:

    6t2 - 8t2 + 3t + 4t + 11t - 3 + 13 - 1

  3. Combine the like terms. Add the coefficients of the like terms:

    -2t2 + 18t + 9

The Simplified Expression

Therefore, the simplified form of the expression (3t - 3) + (6t2 + 4t + 13) + (-8t2 + 11t - 1) is -2t2 + 18t + 9.

Key Points

  • Remember to combine only like terms.
  • Pay attention to the signs of the coefficients.
  • The order of operations (PEMDAS/BODMAS) still applies when simplifying expressions.

By following these steps, you can confidently simplify any algebraic expression.

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