To simplify the expression 2n² + 4n + 32n + 3 using the horizontal method, we start by combining like terms.
1. Identify the like terms in the expression. In this case, the like terms are the ones with the variable n. We have:
- 4n
- 32n
2. Now, add these two terms together:
4n + 32n = 36n
3. Substitute this result back into the original expression:
2n² + 36n + 3
4. The expression is now simplified to 2n² + 36n + 3. There are no more like terms to combine, and this is the simplified form of the original expression.
In conclusion, using the horizontal method helps to clearly visualize and combine like terms, leading us to the final simplified form: 2n² + 36n + 3.