## Expanding (x+10)^2 into a Trinomial

The expression (x+10)^2 represents the square of the binomial (x+10). To expand this expression and write it as a trinomial in standard form, we can use the following steps:

### 1. Understanding the Concept

Recall that squaring a binomial means multiplying it by itself. Therefore, (x+10)^2 is equivalent to (x+10)(x+10).

### 2. Applying the Distributive Property

We can use the distributive property (often referred to as FOIL - First, Outer, Inner, Last) to multiply the binomials:

**First:**x * x = x^2**Outer:**x * 10 = 10x**Inner:**10 * x = 10x**Last:**10 * 10 = 100

Adding these terms together, we get: x^2 + 10x + 10x + 100

### 3. Combining Like Terms

Finally, combine the like terms (10x + 10x) to simplify the expression:

**x^2 + 20x + 100**

Therefore, the trinomial in standard form for (x+10)^2 is **x^2 + 20x + 100**.

### Key Points to Remember:

**Squaring a binomial:**(a + b)^2 = a^2 + 2ab + b^2**Standard form of a trinomial:**ax^2 + bx + c, where a, b, and c are constants.

Understanding how to expand binomials into trinomials is crucial for various algebraic operations, including solving quadratic equations, factoring polynomials, and working with quadratic functions.