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

This article will guide you through the process of expanding the expression **(5-2x)(3+x)**. This type of expression involves multiplying two binomials, which often requires using the **FOIL** method.

### What is the FOIL method?

**FOIL** stands for **First, Outer, Inner, Last**. It's a mnemonic device used to remember the steps involved in multiplying two binomials.

**First:**Multiply the first terms of each binomial.**Outer:**Multiply the outer terms of the binomials.**Inner:**Multiply the inner terms of the binomials.**Last:**Multiply the last terms of each binomial.

### Applying FOIL to our expression

Let's apply the FOIL method to expand (5-2x)(3+x):

**First:**(5)(3) = 15**Outer:**(5)(x) = 5x**Inner:**(-2x)(3) = -6x**Last:**(-2x)(x) = -2x²

Now we have: 15 + 5x - 6x - 2x²

### Simplifying the expression

Finally, combine the like terms to simplify the expression:

**15 - x - 2x²**

Therefore, the expanded form of (5-2x)(3+x) is **15 - x - 2x²**.