## Expanding the Expression (x+3)(x+7)

This expression represents the multiplication of two binomials. 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 * 7 =**7x****I**nner: Multiply the inner terms of the binomials: 3 * x =**3x****L**ast: Multiply the last terms of each binomial: 3 * 7 =**21**

Now, we have the following terms: x² + 7x + 3x + 21.

Finally, combine the like terms:

**x² + 10x + 21**

Therefore, the expanded form of (x+3)(x+7) is **x² + 10x + 21**.