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:
- 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: 3 * x = 3x
- Last: 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.