Expanding the Expression: (2x+3)(3x-2)
This expression involves multiplying two binomials. We can expand it using the FOIL method:
First: Multiply the first terms of each binomial: 2x * 3x = 6x² Outer: Multiply the outer terms of each binomial: 2x * -2 = -4x Inner: Multiply the inner terms of each binomial: 3 * 3x = 9x Last: Multiply the last terms of each binomial: 3 * -2 = -6
Now we have: 6x² - 4x + 9x - 6
Finally, combine the like terms:
6x² + 5x - 6
Therefore, the expanded form of (2x+3)(3x-2) is 6x² + 5x - 6.