Simplifying (x-8)(x-4)
This expression involves multiplying two binomials, which can be done using 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 this to our expression:
(x-8)(x-4)
- F: x * x = x²
- O: x * -4 = -4x
- I: -8 * x = -8x
- L: -8 * -4 = 32
Now, combine the terms:
x² - 4x - 8x + 32
Finally, simplify by combining like terms:
x² - 12x + 32
Therefore, the simplified form of (x-8)(x-4) is x² - 12x + 32.