(-5ab).jpeg "(3ab)(-5ab)")
Simplifying Algebraic Expressions: (3ab)(-5ab)
In mathematics, simplifying algebraic expressions involves combining like terms and applying the rules of arithmetic. Let's take a look at the expression (3ab)(-5ab) and break down how to simplify it.
Understanding the Basics
- Coefficients: These are the numerical values in front of the variables. In our expression, we have 3 and -5.
- Variables: These are the letters representing unknown values. Here, we have a and b.
- Multiplication: The expression involves multiplication of two terms.
Simplifying the Expression
- Multiply the coefficients: (3) x (-5) = -15
- Multiply the variables: (a) x (a) = a² and (b) x (b) = b²
- Combine the results: -15 x a² x b² = -15a²b²
Therefore, the simplified form of (3ab)(-5ab) is -15a²b².
Key Points to Remember
- Order of Operations: Remember to follow the order of operations (PEMDAS/BODMAS) when simplifying expressions.
- Like Terms: You can only combine terms that have the same variables raised to the same powers.
- Sign Rules: Pay attention to the signs of the coefficients when multiplying.
By understanding the basics of algebraic expressions and applying the rules of simplification, you can easily tackle more complex expressions in your mathematical journey.