Expanding the Expression (x+2)(x+9)
The expression (x+2)(x+9) represents the product 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 * 9 = 9x
- Inner: Multiply the inner terms of the binomials: 2 * x = 2x
- Last: Multiply the last terms of each binomial: 2 * 9 = 18
Now, combine the results:
x² + 9x + 2x + 18
Finally, simplify by combining the like terms:
x² + 11x + 18
Therefore, the expanded form of (x+2)(x+9) is x² + 11x + 18.