%2B(-5x%2Bx%5E2-13).jpeg "(3x^2+11x+4)+(-5x+x^2-13)")
Simplifying Algebraic Expressions: (3x^2+11x+4)+(-5x+x^2-13)
This article will guide you through simplifying the given algebraic expression: (3x^2+11x+4)+(-5x+x^2-13).
Understanding the Process
To simplify this expression, we will follow these steps:
- Remove the parentheses: Since we are adding the expressions, the parentheses don't affect the operations.
- Combine like terms: Identify terms with the same variable and exponent, and add their coefficients.
Simplifying the Expression
Let's apply the steps to our expression:
(3x^2+11x+4)+(-5x+x^2-13)
Step 1: Remove parentheses
3x^2 + 11x + 4 - 5x + x^2 - 13
Step 2: Combine like terms
- x^2 terms: 3x^2 + x^2 = 4x^2
- x terms: 11x - 5x = 6x
- Constant terms: 4 - 13 = -9
Final simplified expression:
4x^2 + 6x - 9
Conclusion
By following these steps, we have successfully simplified the algebraic expression (3x^2+11x+4)+(-5x+x^2-13) to 4x^2 + 6x - 9. Remember, the key is to identify and combine like terms.