## Expanding (x+3)(x+4)

The expression (x+3)(x+4) represents the product of two binomials. To find the answer, we can use the **FOIL** method:

**F**irst: Multiply the first terms of each binomial.

- x * x = x²

**O**uter: Multiply the outer terms of the binomials.

- x * 4 = 4x

**I**nner: Multiply the inner terms of the binomials.

- 3 * x = 3x

**L**ast: Multiply the last terms of each binomial.

- 3 * 4 = 12

Now, combine all the terms: x² + 4x + 3x + 12

Finally, simplify by combining like terms:
**x² + 7x + 12**

Therefore, the expanded form of (x+3)(x+4) is **x² + 7x + 12**.