(3x + 4) + ((5x2 - 1) + (2x + 6)) = X2 + X +

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions

This article will guide you through the process of simplifying the algebraic expression:

(3x + 4) + ((5x^2 - 1) + (2x + 6)) = x^2 + x + _

Understanding the Problem

We need to simplify the given expression by combining like terms and then determine the missing term on the right side of the equation.

Step-by-Step Solution

1. Remove the parentheses:

   • Start by removing the innermost parentheses: (3x + 4) + (5x^2 - 1 + 2x + 6) = x^2 + x + _

2. Combine like terms:

   • Combine the x^2 terms: 5x^2 + (3x + 2x) + (4 - 1 + 6) = x^2 + x + _

3. Simplify further:

   • Combine the x terms and the constant terms: 5x^2 + 5x + 9 = x^2 + x + _

4. Isolate the missing term:

   • To find the missing term, subtract x^2 and x from both sides of the equation: 5x^2 - x^2 + 5x - x + 9 = _

5. Simplify: 4x^2 + 4x + 9 = _

Final Answer

Therefore, the simplified expression is 4x^2 + 4x + 9, and the missing term is 9.

The complete equation is:

(3x + 4) + ((5x^2 - 1) + (2x + 6)) = x^2 + x + 9