%2B(x%2B3).jpeg "(9x+7)+(x+3)")
Simplifying the Expression: (9x + 7) + (x + 3)
This expression involves combining like terms, which is a fundamental concept in algebra. Here's a step-by-step explanation of how to simplify it:
Step 1: Identify Like Terms
- Like terms are terms that have the same variable raised to the same power. In our expression:
- 9x and x are like terms (both have 'x' to the power of 1)
- 7 and 3 are like terms (both are constants)
Step 2: Combine Like Terms
- 9x + x = 10x (Add the coefficients of the 'x' terms)
- 7 + 3 = 10 (Add the constants)
Step 3: Write the Simplified Expression
The simplified expression is 10x + 10.
Understanding the Process
Simplifying expressions like this is essential for solving equations and inequalities. By combining like terms, we reduce the complexity of the expression, making it easier to work with.
Key Points:
- Always remember to combine only like terms.
- Pay attention to the signs (+ or -) in front of each term.
- Simplify the expression as much as possible.