## 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

**Multiplication:**Begin by multiplying the terms within the parentheses. Remember that when multiplying variables, you add their exponents.**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**

**Multiplication:**- (7a)(3ab) = 21a^2b

**Combining Like Terms:**- 21a^2b - 4a^2b =
**17a^2b**

- 21a^2b - 4a^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.