**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.