Expanding and Simplifying Algebraic Expressions: 5a(-2ab^2)(-3b^3)
In algebra, expanding and simplifying expressions are essential skills to master. In this article, we will explore the expansion and simplification of the expression 5a(-2ab^2)(-3b^3).
Expanding the Expression
To expand the expression, we need to follow the order of operations (PEMDAS):
- Multiply the numbers: 5 × -2 × -3 = 30
- Multiply the variables: a × a × b^2 × b^3 = a^2b^5
- Combine the results: 30a^2b^5
So, the expanded expression is:
30a^2b^5
Simplifying the Expression
The expression 30a^2b^5 is already in its simplest form. There are no like terms to combine, and all the variables are already factored out.
Therefore, the final simplified expression is:
30a^2b^5
Conclusion
In this article, we have expanded and simplified the expression 5a(-2ab^2)(-3b^3) using the order of operations and algebraic properties. The final simplified expression is 30a^2b^5. This skill is essential in algebra and will help you solve more complex problems in the future.
