3(x+5)+2 Expanded: A Step-by-Step Guide
When dealing with algebraic expressions, it's essential to understand how to expand and simplify them. In this article, we'll take a closer look at the expression 3(x+5)+2 and walk you through the process of expanding it.
The Original Expression
The original expression is:
3(x+5)+2
Step 1: Distribute the 3
To expand the expression, we need to distribute the 3 to the terms inside the parentheses. This means we'll multiply the 3 by both the x and the 5.
3x + 15 + 2
Step 2: Combine Like Terms
Now that we've distributed the 3, we can combine the like terms. In this case, we don't have any like terms, so the expression remains the same.
3x + 15 + 2
The Final Answer
The final answer is:
3x + 17
And that's it! We've successfully expanded the expression 3(x+5)+2.
Conclusion
Expanding algebraic expressions may seem daunting at first, but by following the simple steps outlined above, you can master the process. Remember to distribute the numbers outside the parentheses to the terms inside, and then combine like terms to simplify the expression. With practice, you'll be expanding expressions like a pro!
