(2x^2+xy+14)-(5x^2+4xy+1)

2 min read Jul 03, 2024

Simplifying Algebraic Expressions: A Step-by-Step Guide

In this article, we will explore the process of simplifying algebraic expressions, specifically the expression (2x^2+xy+14)-(5x^2+4xy+1).

The Given Expression

The expression we want to simplify is:

(2x^2+xy+14)-(5x^2+4xy+1)

Step 1: Distribute the Negative Sign

To begin, we need to distribute the negative sign to the terms inside the parentheses:

2x^2 + xy + 14 - 5x^2 - 4xy - 1

Step 2: Combine Like Terms

Next, we will combine like terms, which are terms with the same variable(s) and exponent(s). In this case, we have:

2x^2 and -5x^2 both have the variable x squared, so we combine them: 2x^2 - 5x^2 = -3x^2
xy and -4xy both have the variables x and y, so we combine them: xy - 4xy = -3xy
14 and -1 are constants, so we combine them: 14 - 1 = 13

Step 3: Simplify the Expression

Now, we can rewrite the expression with the combined terms:

-3x^2 - 3xy + 13

And that's it! We have successfully simplified the algebraic expression (2x^2+xy+14)-(5x^2+4xy+1).

Conclusion

Simplifying algebraic expressions can be a straightforward process if you follow the steps. Remember to distribute the negative sign, combine like terms, and rewrite the expression in its simplest form. With practice, you'll become proficient in simplifying complex expressions like a pro!