Expanding the Expression (6a + 5)(5a + 3)
This article will demonstrate how to expand the expression (6a + 5)(5a + 3) using the FOIL method.
What is FOIL?
FOIL stands for First, Outer, Inner, Last. This mnemonic device helps us remember the steps involved in multiplying two binomials.
Expanding the Expression

First: Multiply the first terms of each binomial: (6a) * (5a) = 30a²

Outer: Multiply the outer terms of the binomials: (6a) * (3) = 18a

Inner: Multiply the inner terms of the binomials: (5) * (5a) = 25a

Last: Multiply the last terms of the binomials: (5) * (3) = 15
Now, we have: (6a + 5)(5a + 3) = 30a² + 18a + 25a + 15
 Combine like terms: 30a² + (18a + 25a) + 15 = 30a² + 43a + 15
Conclusion
Therefore, the expanded form of the expression (6a + 5)(5a + 3) is 30a² + 43a + 15.