## Expanding and Simplifying (x+3)(x+3)(x+3)

This expression represents the product of three identical binomials: (x+3). To simplify it, we can use the distributive property of multiplication multiple times.

### Step 1: Expand the first two binomials

First, we'll expand the product of the first two binomials: (x+3)(x+3)

**FOIL method:**We can use the FOIL method (First, Outer, Inner, Last) for this.**First:**x * x = x²**Outer:**x * 3 = 3x**Inner:**3 * x = 3x**Last:**3 * 3 = 9

**Combining like terms:**x² + 3x + 3x + 9 = x² + 6x + 9

Now we have: (x² + 6x + 9)(x+3)

### Step 2: Expand the entire expression

Next, we'll distribute the (x+3) term to each term within the trinomial (x² + 6x + 9).

**x * (x² + 6x + 9):**This gives us x³ + 6x² + 9x**3 * (x² + 6x + 9):**This gives us 3x² + 18x + 27

### Step 3: Combine like terms

Now we have: x³ + 6x² + 9x + 3x² + 18x + 27

Combining like terms, we get: **x³ + 9x² + 27x + 27**

### Conclusion

Therefore, the simplified expression for (x+3)(x+3)(x+3) is **x³ + 9x² + 27x + 27**.

This process demonstrates how to expand and simplify expressions involving repeated binomials.