(2x-8)(2x-6)
When we expand the expression (2x-8)(2x-6), we use the distributive property:
First, we multiply the first terms in each parentheses: 2x * 2x = 4x^2.
Then, we multiply the outer terms: 2x * -6 = -12x.
Next, we multiply the inner terms: -8 * 2x = -16x.
Finally, we multiply the last terms in each parentheses: -8 * -6 = 48.
Combining like terms, we have:
4x^2 - 12x - 16x + 48.
Simplifying further, we have the expression:
4x^2 - 28x + 48.