## Solving (x + 3)(x + 7)

This expression represents the multiplication of two binomials. To solve it, we can use the **FOIL method**. FOIL stands for **First, Outer, Inner, Last**, which describes the order in which we multiply the terms:

**First:**Multiply the first terms of each binomial: x * x = x²**Outer:**Multiply the outer terms of each binomial: x * 7 = 7x**Inner:**Multiply the inner terms of each binomial: 3 * x = 3x**Last:**Multiply the last terms of each binomial: 3 * 7 = 21

Now, combine the terms:

x² + 7x + 3x + 21

Finally, simplify by combining like terms:

**x² + 10x + 21**

Therefore, the solution for (x + 3)(x + 7) is **x² + 10x + 21**.