Find the product of (x + 5)(x − 5).
Using the FOIL method, we can distribute the terms to get:
(x + 5)(x − 5) = x*x + x*(-5) + 5*x + 5*(-5) = x^2 - 25
Therefore, the product of (x + 5)(x − 5) is x^2 - 25.
To find the product of (x + 5)(x - 5), we can use the FOIL method, which stands for First, Outer, Inner, Last.
First, multiply the terms in the first position: x * x = x^2.
Outer, multiply the terms in the outer position: x * -5 = -5x.
Inner, multiply the terms in the inner position: 5 * x = 5x.
Last, multiply the terms in the last position: 5 * -5 = -25.
Now, let's simplify and combine the like terms.
The product of (x + 5)(x - 5) is x^2 - 5x + 5x - 25.
Since the middle terms (5x and -5x) cancel each other out, the product simplifies to:
x^2 - 25.
Therefore, the product of (x + 5)(x - 5) is x^2 - 25.