## Solving (x+8)(x+8)

This expression represents the multiplication of two identical binomials: (x+8) and (x+8). We can solve it using the **FOIL method** (First, Outer, Inner, Last) or simply by **expanding the brackets**.

**1. Using FOIL Method**

**First:**Multiply the first terms of each binomial: x * x = x²**Outer:**Multiply the outer terms of the binomials: x * 8 = 8x**Inner:**Multiply the inner terms of the binomials: 8 * x = 8x**Last:**Multiply the last terms of each binomial: 8 * 8 = 64

Now, combine the terms: x² + 8x + 8x + 64

Finally, simplify the expression: **x² + 16x + 64**

**2. Expanding the Brackets**

- Treat (x+8) as a single unit and distribute it to each term inside the second bracket: (x+8) * (x+8) = (x+8) * x + (x+8) * 8
- Expand the brackets: x² + 8x + 8x + 64
- Simplify the expression:
**x² + 16x + 64**

**Therefore, the solution of (x+8)(x+8) is x² + 16x + 64.**

This solution can also be seen as a **perfect square trinomial** since it is the result of squaring a binomial (x+8). This knowledge can be useful for factoring quadratic equations.