## Expanding and Simplifying (6a+5)(5a+3)

This article will guide you through the process of expanding and simplifying the expression **(6a+5)(5a+3)**, ultimately presenting it in standard form.

### Understanding the Problem

We are given a product of two binomials: (6a+5) and (5a+3). Our goal is to rewrite this product as a polynomial in standard form.

### Expanding the Product

To expand the product, we can use the distributive property (also known as FOIL - First, Outer, Inner, Last).

**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 each binomial: (5)(3) = 15

This gives us: **30a² + 18a + 25a + 15**

### Simplifying to Standard Form

Now we combine like terms:

**30a² + (18a + 25a) + 15**
**30a² + 43a + 15**

### The Final Result

Therefore, the expression (6a+5)(5a+3) in standard form is **30a² + 43a + 15**.