To simplify the expression [tex]\((7x + 2)(7x - 2)\)[/tex], we can apply the difference of squares formula, which states that:
[tex]\[ (a + b)(a - b) = a^2 - b^2 \][/tex]
Here, we have [tex]\(a = 7x\)[/tex] and [tex]\(b = 2\)[/tex]. Substituting these values into the formula:
[tex]\[ (7x + 2)(7x - 2) = (7x)^2 - (2)^2 \][/tex]
Now compute the squares separately:
[tex]\[ (7x)^2 = 49x^2 \][/tex]
[tex]\[ (2)^2 = 4 \][/tex]
Substituting these back into the expression, we get:
[tex]\[ (7x + 2)(7x - 2) = 49x^2 - 4 \][/tex]
Therefore, the simplified expression is:
[tex]\[ 49x^2 - 4 \][/tex]
Among the given options, the correct one is:
[tex]\[ \boxed{49 x^2 - 4} \][/tex]
