Simplifying (x - 9)(x - 7)
This expression involves multiplying two binomials, which can be done using the FOIL method:
First: Multiply the first terms of each binomial:
- x * x = x²
Outer: Multiply the outer terms of the binomials:
- x * -7 = -7x
Inner: Multiply the inner terms of the binomials:
- -9 * x = -9x
Last: Multiply the last terms of each binomial:
- -9 * -7 = 63
Now, combine the terms:
x² - 7x - 9x + 63
Finally, simplify by combining like terms:
x² - 16x + 63
Therefore, the simplified form of (x - 9)(x - 7) is x² - 16x + 63.