12x-3(2i-5y) 2(6x-9u)+15y

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Jun 27, 2024

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Simplifying Algebraic Expressions: 12x-3(2i-5y) and 2(6x-9u)+15y

In algebra, simplifying expressions is an essential step in solving equations and inequalities. In this article, we will explore how to simplify two algebraic expressions: 12x-3(2i-5y) and 2(6x-9u)+15y.

Simplifying 12x-3(2i-5y)

To simplify the expression 12x-3(2i-5y), we need to follow the order of operations (PEMDAS):

1. Evaluate the expression inside the parentheses: 2i-5y
2. Multiply the expression by -3: -3(2i-5y) = -6i + 15y
3. Combine like terms with the remaining term 12x: 12x - 6i + 15y

So, the simplified expression is: 12x - 6i + 15y

Simplifying 2(6x-9u)+15y

To simplify the expression 2(6x-9u)+15y, we need to follow the order of operations (PEMDAS):

1. Evaluate the expression inside the parentheses: 6x-9u
2. Multiply the expression by 2: 2(6x-9u) = 12x - 18u
3. Combine like terms with the remaining term 15y: 12x - 18u + 15y

So, the simplified expression is: 12x - 18u + 15y

Conclusion

In this article, we have learned how to simplify two algebraic expressions: 12x-3(2i-5y) and 2(6x-9u)+15y. By following the order of operations and combining like terms, we can simplify complex expressions and make them easier to work with. Simplifying algebraic expressions is a crucial skill in algebra and is used extensively in various mathematical and real-world applications.