Answer
$(2w-1)(2w+3)$
Work Step by Step
Rewrite 4w as -2w + 6w
$4w^{2} + 4w - 3 = 4w^{2} - 2w + 6w -3$
Factor out GCF of each pair of terms, which would be
$2w(2w-1) + 3(2w-1)$
Now use distributive property =
$(2w-1)(2w+3)$
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