Answer
(2d+5)(2d-7)
Work Step by Step
You are given $4d^{2}$-4d-35. Factor it out:
$4d^{2}$+10d-14d-35 -break out the middle value-
($4d^{2}$+10d)+(-14d-35) -group the first two and last two terms-
2d(2d+5)-7(2d+5) -Find the GCF of each grouping's-
(2d+5)(2d-7) -factor out the common term-
=(2d+5)(2d-7)