## Expanding (5x+2)(2x-3)

This expression represents the multiplication of two binomials. To find the answer, we can use the **FOIL** method:

**F**irst: Multiply the first terms of each binomial: 5x * 2x = **10x²**

**O**uter: Multiply the outer terms of the binomials: 5x * -3 = **-15x**

**I**nner: Multiply the inner terms of the binomials: 2 * 2x = **4x**

**L**ast: 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**.