Answer
(3t+5)(2t-1)
Work Step by Step
You are given $6t^{2}$+7t-5. Factor it out:
$6t^{2}$+10t-3t-5 -break out the middle value-
($6t^{2}$+10t)+(-3t-5) -group the first two and last two terms-
2t(3t+5)-1(3t+5) -Find the GCF of each grouping-
(2t-1)(3t+5) -factor out the common term-
=(2t-1)(3t+5)