(7a)(3ab)-4a^2b

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (7a)(3ab) - 4a^2b

This article will guide you through the steps involved in simplifying the algebraic expression (7a)(3ab) - 4a^2b.

Understanding the Steps

1. Multiplication: Begin by multiplying the terms within the parentheses. Remember that when multiplying variables, you add their exponents.
2. Combining Like Terms: Identify terms with the same variables and exponents. These are called "like terms." Combine these terms by adding or subtracting their coefficients.

Simplifying the Expression

Let's apply these steps to our expression:

(7a)(3ab) - 4a^2b

1. Multiplication:
   • (7a)(3ab) = 21a^2b
2. Combining Like Terms:
   • 21a^2b - 4a^2b = 17a^2b

Therefore, the simplified form of the expression (7a)(3ab) - 4a^2b is 17a^2b.

Key Points to Remember

• Order of Operations: Always follow the order of operations (PEMDAS/BODMAS) when simplifying expressions.
• Exponents: When multiplying variables with exponents, add the exponents.
• Like Terms: Only terms with the same variables and exponents can be combined.

By understanding these principles, you can confidently simplify algebraic expressions like the one we worked through.