Simplifying the Expression 3x^3 - 2x^2
When it comes to simplifying algebraic expressions, it's essential to follow the order of operations (PEMDAS) and combine like terms. In this article, we'll explore how to simplify the expression 3x^3 - 2x^2.
Understanding the Expression
The given expression is 3x^3 - 2x^2. Let's break it down:
- 3x^3: This term has a coefficient of 3 and a variable x raised to the power of 3.
- -2x^2: This term has a coefficient of -2 and a variable x raised to the power of 2.
Simplifying the Expression
To simplify the expression, we need to combine like terms. In this case, we don't have any like terms, as the variables have different exponents (3 and 2).
The Simplified Expression
After reviewing the expression, we can conclude that it's already in its simplest form:
3x^3 - 2x^2
This expression cannot be simplified further, as there are no like terms to combine. Therefore, the simplified expression is 3x^3 - 2x^2.
Key Takeaways
- Simplifying algebraic expressions involves combining like terms and following the order of operations (PEMDAS).
- When there are no like terms, the expression is already in its simplest form.
- In this case, the expression 3x^3 - 2x^2 cannot be simplified further.
