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.