## Expanding (x+1)(x+7)

This expression represents the multiplication of two binomials: (x+1) and (x+7). To find the answer, we can use the **FOIL** method, which stands for **First, Outer, Inner, Last**.

Here's how it works:

**First:**Multiply the first terms of each binomial:**x * x = x²****Outer:**Multiply the outer terms of the binomials:**x * 7 = 7x****Inner:**Multiply the inner terms of the binomials:**1 * x = x****Last:**Multiply the last terms of each binomial:**1 * 7 = 7**

Now, we combine all the terms:

**x² + 7x + x + 7**

Finally, we simplify by combining like terms:

**x² + 8x + 7**

Therefore, the expanded form of (x+1)(x+7) is **x² + 8x + 7**.