Simplifying Algebraic Expressions: 3(x+5y)
Algebraic expressions are a fundamental concept in mathematics, and simplifying them is an essential skill for any student. In this article, we will explore the expression 3(x+5y) and learn how to simplify it.
What is the Expression 3(x+5y)?
The expression 3(x+5y) is a algebraic expression that consists of a constant multiple of a binomial expression. The constant multiple is 3, and the binomial expression is x+5y.
Simplifying the Expression
To simplify the expression 3(x+5y), we need to follow the order of operations (PEMDAS):
- Distribute the 3: Multiply the 3 to both terms inside the parentheses:
3x + 15y
Result
The simplified expression is:
3x + 15y
By simplifying the expression 3(x+5y), we have obtained a new expression that is easier to work with. This process is essential in algebra, as it allows us to simplify complex expressions and solve equations more efficiently.
Conclusion
In conclusion, simplifying algebraic expressions is a crucial skill in mathematics, and the expression 3(x+5y) is a great example of how to apply the distributive property to simplify an expression. By following the order of operations and distributing the constant multiple, we can simplify the expression to 3x + 15y.
