(2ab)+(5ab)+(ab)

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (2ab) + (5ab) + (ab)

In mathematics, simplifying expressions involves combining like terms to create a more compact and manageable form. Let's examine how to simplify the expression (2ab) + (5ab) + (ab).

Understanding Like Terms

Like terms are terms that share the same variables and exponents. In our expression, all three terms contain the variables a and b, each raised to the power of 1. Therefore, they are all like terms.

Combining Like Terms

To combine like terms, we simply add or subtract their coefficients, the numerical part of the term.

1. Identify the coefficients: In our expression, the coefficients are 2, 5, and 1 (since 'ab' can be considered 1ab).

2. Add the coefficients: 2 + 5 + 1 = 8

3. Combine the result with the variables: 8ab

Simplified Expression

Therefore, the simplified form of (2ab) + (5ab) + (ab) is 8ab.

Key Takeaway

Simplifying expressions by combining like terms is a fundamental skill in algebra. By understanding the concept of like terms and applying basic arithmetic, we can effectively reduce complex expressions into simpler forms.