## Expanding and Simplifying (x+3)(x+4) to Standard Form

In mathematics, **standard form** refers to a specific way of writing a polynomial expression. For a quadratic expression, the standard form is **ax² + bx + c**, where 'a', 'b', and 'c' are constants.

Let's expand and simplify the expression (x+3)(x+4) to achieve its standard form:

### Expanding the Expression

We can use the **FOIL method** (First, Outer, Inner, Last) to expand the product:

**First:**x * x = x²**Outer:**x * 4 = 4x**Inner:**3 * x = 3x**Last:**3 * 4 = 12

Combining these terms, we get: x² + 4x + 3x + 12

### Simplifying to Standard Form

Now, we can combine the like terms (4x and 3x) to achieve the standard form:

**x² + 7x + 12**

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