Answer:
The factorization of [tex]4x^2 -1[/tex] is [tex](2x+1)(2x-1)[/tex].
Step-by-step explanation:
The given expression [tex]4x^2 -1[/tex] can be factored using the difference of squares formula, which states that [tex]a^2 -b^2 = (a+b) (a-b)[/tex].
In this case, a = 2x and b = 1. Apply the difference of squares formula:
[tex]4x^2 -1[/tex] = [tex](2x+1)(2x-1)[/tex].
