(3x-2)-expand-and-simplify.jpeg "(2x+1)(3x-2) Expand And Simplify")
Expanding and Simplifying (2x+1)(3x-2)
In algebra, expanding and simplifying expressions is a fundamental skill. This article will guide you through the process of expanding and simplifying the expression (2x+1)(3x-2).
Understanding the Process
Expanding an expression like (2x+1)(3x-2) involves multiplying each term in the first set of parentheses by each term in the second set of parentheses. This is commonly referred to as the FOIL method, which stands for First, Outer, Inner, Last.
Applying the FOIL Method
- First: Multiply the first terms of each binomial: (2x) * (3x) = 6x²
- Outer: Multiply the outer terms of the binomials: (2x) * (-2) = -4x
- Inner: Multiply the inner terms of the binomials: (1) * (3x) = 3x
- Last: Multiply the last terms of the binomials: (1) * (-2) = -2
Combining Like Terms
After applying the FOIL method, we have: 6x² - 4x + 3x - 2
Now, we combine the like terms (-4x and 3x): 6x² - x - 2
Final Simplified Expression
Therefore, the expanded and simplified form of (2x+1)(3x-2) is 6x² - x - 2.