Simplifying the Expression: (9x+7)(x+3)
This article will guide you through the process of simplifying the expression (9x+7)(x+3). This is a fundamental algebraic operation that involves combining like terms.
Understanding the Problem
The expression (9x+7)(x+3) represents a subtraction of two binomials:
 (9x+7): This binomial contains the terms 9x and 7.
 (x+3): This binomial contains the terms x and 3.
Simplifying the Expression

Distribute the negative sign: The minus sign in front of the second binomial acts as a 1. We distribute this 1 to both terms inside the parentheses: (9x + 7) 1(x + 3)

Simplify: Now we multiply each term inside the second parentheses by 1: 9x + 7 x  3

Combine like terms: Identify and combine terms with the same variable (x) and terms without variables (constants): (9x  x) + (7  3)

Simplify further: Perform the arithmetic operations: 8x + 4
Final Result
Therefore, the simplified expression for (9x+7)(x+3) is 8x + 4.