## Multiplying (x-5)(x+2)

This article will guide you through multiplying the expression (x-5)(x+2).

### Understanding the Process

The expression (x-5)(x+2) represents the product of two binomials. To multiply binomials, we use the distributive property, often referred to as 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 FOIL

**First:**(x) * (x) =**x²****Outer:**(x) * (2) =**2x****Inner:**(-5) * (x) =**-5x****Last:**(-5) * (2) =**-10**

### Combining Like Terms

Now we have: x² + 2x - 5x - 10

Combine the like terms (2x and -5x):

x² - 3x - 10

### Final Result

Therefore, the product of (x-5)(x+2) is **x² - 3x - 10**.