(2ab2+2a3b-4ab)+(4a2b-3ab-2a2b) Answer

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions

This article will guide you through simplifying the algebraic expression: (2ab² + 2a³b - 4ab) + (4a²b - 3ab - 2a²b).

Understanding the Expression

The expression consists of two sets of terms enclosed in parentheses. Each term contains variables a and b with different exponents. To simplify this expression, we need to combine like terms.

Combining Like Terms

Like terms are terms that have the same variables raised to the same powers. Here's how to identify and combine like terms:

1. Identify the terms:

   • 2ab², 2a³b, -4ab are in the first set of parentheses.
   • 4a²b, -3ab, -2a²b are in the second set of parentheses.

2. Combine like terms:

   • ab²: There's only one term with ab², so it remains as 2ab².
   • a³b: There's only one term with a³b, so it remains as 2a³b.
   • a²b: We have 4a²b - 2a²b = 2a²b.
   • ab: We have -4ab - 3ab = -7ab.

Simplified Expression

After combining like terms, the simplified expression is:

2ab² + 2a³b + 2a²b - 7ab

Key Points

• Remember to focus on the variables and their exponents when identifying like terms.
• When combining like terms, only add or subtract the coefficients. The variables and exponents remain the same.

By applying these steps, we have successfully simplified the given algebraic expression.