Expanding the Expression: (x+9)(x-2)
This expression represents the product of two binomials. To find the answer, we can use the FOIL method:
First: Multiply the first terms of each binomial. Outer: Multiply the outer terms of the binomials. Inner: Multiply the inner terms of the binomials. Last: Multiply the last terms of each binomial.
Let's apply FOIL to our expression:
(x + 9)(x - 2)
- F: x * x = x²
- O: x * -2 = -2x
- I: 9 * x = 9x
- L: 9 * -2 = -18
Now, combine the terms:
x² - 2x + 9x - 18
Finally, simplify by combining the like terms:
x² + 7x - 18
Therefore, the answer to (x+9)(x-2) is x² + 7x - 18.