What is the product of (4x – 7)(4x + 7)? A. 16x2 + 56x – 49 B. 8x2 + 56x – 49 C. 8x2 – 49 D. 16x2 – 49

[tex](4x - 7)(4x + 7)[/tex]
As you might've noticed that, it's in the form of
(a+b) (a-b)
where
a = 4x and b = 7


Now wherever an expression is in this form we use an alzebric identity to solve it. whichis as followed,
[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

Simply use that identity and we'll get

[tex] {(4x)}^{2} - {7}^{2} \\ = 16 {x}^{2} - 49 \\ [/tex]



Therefore option (D) is the correct answer.





Hope you got it.