Find the product.(x-7)(x+7)
x^2 - 14x + 49
To find the product of the given expression, (x-7)(x+7), we can use the distributive property of multiplication.
First, multiply the first terms of each binomial:
(x * x) = x^2
Next, multiply the outer terms:
(x * 7) = 7x
Then, multiply the inner terms:
(-7 * x) = -7x
Finally, multiply the last terms of each binomial:
(-7 * 7) = -49
Now, we can combine these terms to get the final product:
(x-7)(x+7) = x^2 + 7x - 7x - 49
The middle terms, 7x and -7x, cancel each other out, resulting in:
(x-7)(x+7) = x^2 - 49
Therefore, the product of (x-7)(x+7) is x^2 - 49.