## Expanding the Expression: (x+2)(x-6)

This article will explore the expansion of the expression **(x+2)(x-6)**. This type of expression represents a product of two binomials, and expanding it involves using the distributive property (also known as FOIL).

### Understanding the FOIL Method

FOIL stands for **First, Outer, Inner, Last**. It is a mnemonic device used to remember the steps for 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.

### Expanding the Expression

Let's apply FOIL to our expression **(x+2)(x-6)**:

**First:**x * x = x²**Outer:**x * -6 = -6x**Inner:**2 * x = 2x**Last:**2 * -6 = -12

Now we combine the results:

x² - 6x + 2x - 12

Finally, we simplify by combining like terms:

**x² - 4x - 12**

### Conclusion

Therefore, the expanded form of the expression **(x+2)(x-6)** is **x² - 4x - 12**. Expanding binomials is a fundamental skill in algebra, and understanding the FOIL method makes this process straightforward.