## Expanding and Simplifying (x + 2)(x + 9)

This expression represents the product of two binomials: (x + 2) and (x + 9). To write it in standard form, we need to expand and simplify it.

### Using the FOIL Method

The FOIL method is a helpful mnemonic for remembering how to multiply binomials:

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

Let's apply this to our expression:

**First:**x * x = x²**Outer:**x * 9 = 9x**Inner:**2 * x = 2x**Last:**2 * 9 = 18

Now, we combine these terms:

x² + 9x + 2x + 18

Finally, we simplify by combining like terms:

**x² + 11x + 18**

This is the standard form of the expression (x + 2)(x + 9).

### Conclusion

By applying the FOIL method, we successfully expanded and simplified the given expression to its standard form: x² + 11x + 18. This process is essential for understanding and manipulating algebraic expressions in various contexts.