%2B(2x%5E2%2B15).jpeg "(x^2+6x-5)+(2x^2+15)")
Simplifying Expressions: (x^2+6x-5)+(2x^2+15)
Introduction
In this article, we will learn how to simplify the expression (x^2+6x-5)+(2x^2+15). Simplifying expressions is an essential skill in algebra, and it involves combining like terms to create a more concise and manageable form of an expression.
The Given Expression
The expression we want to simplify is (x^2+6x-5)+(2x^2+15). This expression consists of two parts: (x^2+6x-5) and (2x^2+15). Our goal is to combine these two parts into a single expression.
Combining Like Terms
To simplify the expression, we need to combine like terms. Like terms are terms that have the same variable(s) and coefficient(s). In this case, we have two like terms: x^2 and x.
Step 1: Combine the x^2 terms
We have two x^2 terms: x^2 and 2x^2. To combine these terms, we add their coefficients: 1 + 2 = 3. So, the combined x^2 term is 3x^2.
Step 2: Combine the x terms
We have one x term: 6x. There is no other x term to combine it with, so we leave it as is.
Step 3: Combine the constant terms
We have two constant terms: -5 and 15. To combine these terms, we add them: -5 + 15 = 10. So, the combined constant term is 10.
The Simplified Expression
Now that we have combined all the like terms, we can write the simplified expression as:
3x^2 + 6x + 10
This is the simplified form of the original expression (x^2+6x-5)+(2x^2+15).
Conclusion
In this article, we have learned how to simplify the expression (x^2+6x-5)+(2x^2+15) by combining like terms. By following the steps outlined above, we can simplify expressions and make them easier to work with.
