(x%2B6)-answer.jpeg "(x+5)(x+6) Answer")
Expanding (x+5)(x+6)
To expand the expression (x+5)(x+6), we 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:
- 5 * x = 5x
4. Last: Multiply the last terms of each binomial:
- 5 * 6 = 30
5. Combine: Add all the results together:
- x² + 6x + 5x + 30
6. Simplify: Combine the like terms:
- x² + 11x + 30
Therefore, the expanded form of (x+5)(x+6) is x² + 11x + 30.