(2x%2B3)-expand-and-simplify.jpeg "(x-1)(2x+3) Expand And Simplify")
Expanding and Simplifying (x-1)(2x+3)
This article will guide you through the process of expanding and simplifying the expression (x-1)(2x+3).
Understanding the Problem
We are given a product of two binomials: (x-1) and (2x+3). Our goal is to expand this product and simplify the resulting expression.
Expanding the Expression
We can expand the expression using the FOIL method (First, Outer, Inner, Last):
- First: Multiply the first terms of each binomial: x * 2x = 2x²
- Outer: Multiply the outer terms of the binomials: x * 3 = 3x
- Inner: Multiply the inner terms of the binomials: -1 * 2x = -2x
- Last: Multiply the last terms of each binomial: -1 * 3 = -3
Now we have: 2x² + 3x - 2x - 3
Simplifying the Expression
We can simplify the expression by combining like terms:
2x² + (3x - 2x) - 3
This simplifies to: 2x² + x - 3
Final Answer
Therefore, the expanded and simplified form of (x-1)(2x+3) is 2x² + x - 3.