Multiplying Binomials: (5a  2)(2a  3)
This article will guide you through the process of multiplying the binomials (5a  2) and (2a  3). We'll use the FOIL method, which stands for First, Outer, Inner, Last.
FOIL Method Breakdown

First: Multiply the first terms of each binomial: (5a) * (2a) = 10a²

Outer: Multiply the outer terms of the binomials: (5a) * (3) = 15a

Inner: Multiply the inner terms of the binomials: (2) * (2a) = 4a

Last: Multiply the last terms of each binomial: (2) * (3) = 6
Combining the Terms
Now, we have the following expression: 10a²  15a  4a + 6
Finally, combine the like terms: 10a²  19a + 6
Conclusion
Therefore, the product of (5a  2) and (2a  3) is 10a²  19a + 6. The FOIL method is a simple and effective way to multiply binomials. Remember to combine like terms at the end to get the final simplified expression.