## Expanding and Simplifying (5a + 2)(a + 4)

This article will guide you through the process of expanding and simplifying the expression **(5a + 2)(a + 4)** to get the standard form of a polynomial.

### Understanding the Process

The expression is in the form of a product of two binomials. To expand it, we'll use the **FOIL method**:

**F**irst: Multiply the first terms of each binomial.**O**uter: Multiply the outer terms of the binomials.**I**nner: Multiply the inner terms of the binomials.**L**ast: Multiply the last terms of each binomial.

### Applying the FOIL Method

**First:**(5a) * (a) = 5a²**Outer:**(5a) * (4) = 20a**Inner:**(2) * (a) = 2a**Last:**(2) * (4) = 8

Now, we have: 5a² + 20a + 2a + 8

### Simplifying the Expression

Finally, combine the like terms (the terms with 'a'):

5a² + 20a + 2a + 8 = **5a² + 22a + 8**

### Conclusion

Therefore, the standard form of the expression (5a + 2)(a + 4) is **5a² + 22a + 8**. This process illustrates how to expand and simplify algebraic expressions involving binomials.