Simplifying Algebraic Expressions: 2(5c-7) and 10(c-3)
In this article, we will explore how to simplify two algebraic expressions: 2(5c-7) and 10(c-3). Simplifying algebraic expressions is an essential skill in mathematics, and it can help us to better understand and manipulate mathematical equations.
Simplifying 2(5c-7)
To simplify the expression 2(5c-7), we need to follow the order of operations (PEMDAS):
- Distribute the 2 to the terms inside the parentheses:
2(5c) - 2(7)
- Multiply the 2 with each term:
10c - 14
So, the simplified form of 2(5c-7) is 10c - 14.
Simplifying 10(c-3)
To simplify the expression 10(c-3), we need to follow the order of operations (PEMDAS):
- Distribute the 10 to the terms inside the parentheses:
10c - 10(3)
- Multiply the 10 with each term:
10c - 30
So, the simplified form of 10(c-3) is 10c - 30.
Conclusion
In this article, we have learned how to simplify two algebraic expressions: 2(5c-7) and 10(c-3). By following the order of operations and distributing the numbers to the terms inside the parentheses, we can simplify these expressions to 10c - 14 and 10c - 30, respectively. Simplifying algebraic expressions is an important skill in mathematics, and it can help us to better understand and solve mathematical equations.
