(3ab-6a2)+(a2-4ab+2b2)+(5 A 2-3b2)

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions

This article will guide you through the process of simplifying the following algebraic expression:

(3ab - 6a²)+(a² - 4ab + 2b²)+(5a² - 3b²)

Step 1: Identifying Like Terms

To simplify this expression, we need to identify like terms. Like terms are terms that have the same variables raised to the same powers. In our expression, we have the following like terms:

• a² terms: -6a², a², 5a²
• ab terms: 3ab, -4ab
• b² terms: 2b², -3b²

Step 2: Combining Like Terms

Now, we can combine the like terms by adding or subtracting their coefficients.

• a² terms: -6a² + a² + 5a² = 0a²
• ab terms: 3ab - 4ab = -ab
• b² terms: 2b² - 3b² = -b²

Step 3: Writing the Simplified Expression

Combining all the simplified terms, we get the simplified expression:

0a² - ab - b²

Since 0a² is simply 0, we can further simplify this to:

-ab - b²

Therefore, the simplified form of the expression (3ab - 6a²)+(a² - 4ab + 2b²)+(5 a 2-3b²) is -ab - b².