Question

1. factor $4m^{2}-1$:

a. $(2m+1)^{2}$
b. $(2m-1)^{2}$
c. $(2m+1)(2m-1)$
d. $(-2m+1)(2m-1)$

Explanation:

Step1: Recognize difference of squares

$4m^2 - 1 = (2m)^2 - 1^2$

Step2: Apply difference of squares formula

Recall $a^2 - b^2 = (a+b)(a-b)$. Here $a=2m$, $b=1$.
$\implies (2m+1)(2m-1)$

Answer:

c. $(2m+1)(2m-1)$