(2x%2B3)-expand-and-simplify.jpeg "(3x+4)(2x+3) Expand And Simplify")
Expanding and Simplifying (3x+4)(2x+3)
This article will guide you through the process of expanding and simplifying the expression (3x+4)(2x+3).
Understanding the Process
The expression (3x+4)(2x+3) represents the multiplication of two binomials. To expand and simplify it, we'll use the distributive property, also known as FOIL (First, Outer, Inner, Last).
Using FOIL
First: Multiply the first terms of each binomial: (3x) * (2x) = 6x² Outer: Multiply the outer terms of the binomials: (3x) * (3) = 9x Inner: Multiply the inner terms of the binomials: (4) * (2x) = 8x Last: Multiply the last terms of each binomial: (4) * (3) = 12
Combining Like Terms
Now, we have: 6x² + 9x + 8x + 12
Combine the like terms (the terms with the same variable and exponent): 6x² + 17x + 12
Final Result
Therefore, the expanded and simplified form of (3x+4)(2x+3) is 6x² + 17x + 12.