## Expanding (x + 5)(x + 8)

This expression represents the multiplication of two binomials: (x + 5) and (x + 8). To find the answer, we can use the **FOIL** method:

**F**irst: Multiply the **first** terms of each binomial.

x * x = x²

**O**uter: Multiply the **outer** terms of the binomials.

x * 8 = 8x

**I**nner: Multiply the **inner** terms of the binomials.

5 * x = 5x

**L**ast: Multiply the **last** terms of each binomial.

5 * 8 = 40

Now, add all the results together:

x² + 8x + 5x + 40

Finally, combine the like terms:

**x² + 13x + 40**

Therefore, the expanded form of (x + 5)(x + 8) is **x² + 13x + 40**.