Answer
(2n-1)(2n-3)
Work Step by Step
You are given $4n^{2}$-8n+3. Factor it out:
$4n^{2}$-2n-6n+3-break out the middle value-
($4n^{2}$-2n)+(-6n+3) -group the first two and last two terms-
2n(2n-1)-3(2n-1) -Find the GCF of each grouping-
(2n-1)(2n-3) -factor out the common term-
=(2n-1)(2n-3)
