## Expanding (x + 10)²: A Trinomial in Standard Form

The expression (x + 10)² represents the square of a binomial. To express it as a trinomial in standard form, we need to expand it.

### Expanding the Binomial

The expression (x + 10)² is equivalent to (x + 10) multiplied by itself:

(x + 10)² = (x + 10)(x + 10)

To expand this, we can use the **FOIL** method:

**F**irst: x * x = x²**O**uter: x * 10 = 10x**I**nner: 10 * x = 10x**L**ast: 10 * 10 = 100

Combining the terms, we get:

x² + 10x + 10x + 100

### Standard Form

Finally, combine the like terms to write the trinomial in **standard form**:

**x² + 20x + 100**

Therefore, the expression (x + 10)² expanded as a trinomial in standard form is **x² + 20x + 100**.