The correct expression equivalent to 4m² – 1/4 is (2m - 1/2)(2m + 1/2).
To find the equivalent expression, we can use the difference of squares formula, which states that a² - b² = (a + b)(a - b). In this case, 4m² – 1/4 can be viewed as (2m)² - (1/2)². Applying the difference of squares formula:
(2m)² - (1/2)² = (2m + 1/2)(2m - 1/2).
Therefore, the correct expression is (2m - 1/2)(2m + 1/2), which corresponds to option d.
Complete question:
Una expresión equivalente de 4m2 – 1/4, es:
a. (2m + 1/2)(2m + 1/2)
b. (16m – 1)/4
c. (2m – 1/2)(2m – 1/2)
d. (2m – 1/2)(2m + 1/2)