Expanding (5x+2)(2x-3)
This expression represents the multiplication of two binomials. To find the answer, we can use the FOIL method:
First: Multiply the first terms of each binomial: 5x * 2x = 10x²
Outer: Multiply the outer terms of the binomials: 5x * -3 = -15x
Inner: Multiply the inner terms of the binomials: 2 * 2x = 4x
Last: Multiply the last terms of each binomial: 2 * -3 = -6
Now, combine the terms:
10x² - 15x + 4x - 6
Finally, simplify by combining like terms:
10x² - 11x - 6
Therefore, the expanded form of (5x+2)(2x-3) is 10x² - 11x - 6.