Simplifying Algebraic Expressions: 5a(-3b)(-2a^2b^3)
In algebra, simplifying expressions is an essential skill to master. It involves combining like terms and eliminating any parentheses or other grouping symbols. In this article, we will explore how to simplify the expression 5a(-3b)(-2a^2b^3).
Step 1: Multiply the Numbers
First, let's multiply the numbers outside the parentheses:
5 × -3 × -2 = 5 × 6 = 30
Step 2: Multiply the Variables
Next, let's multiply the variables inside the parentheses:
a × b × a^2 × b^3 = a^3 × b^4
Step 3: Combine the Results
Now, let's combine the results of steps 1 and 2:
30 × a^3 × b^4 = 30a^3b^4
And that's it! We have successfully simplified the expression 5a(-3b)(-2a^2b^3) to 30a^3b^4.
Conclusion
Simplifying algebraic expressions may seem daunting at first, but by following the steps outlined above, you can break down even the most complex expressions into more manageable forms. Remember to multiply the numbers and variables separately and then combine the results to get the final simplified expression.
