Expanding (x+7)(x+6)
This expression represents the product of two binomials. To find the answer, we can use the FOIL method, which stands for First, Outer, Inner, Last.
Here's how it works:
1. First: Multiply the first terms of each binomial: x * x = x²
2. Outer: Multiply the outer terms of the binomials: x * 6 = 6x
3. Inner: Multiply the inner terms of the binomials: 7 * x = 7x
4. Last: Multiply the last terms of each binomial: 7 * 6 = 42
Now, we add all the results together:
x² + 6x + 7x + 42
Combining like terms, we get:
x² + 13x + 42
Therefore, the expanded form of (x+7)(x+6) is x² + 13x + 42.