Answer
(9x+4)(6x+7)
Work Step by Step
You are given $54x^{2}$+87x+28. Factor it out:
$54x^{2}$+63x+24x+28 -break out the middle value-
($54x^{2}$+63x)+(24x+28) -group the first two and last two terms-
9x(6x+7)+4(6x+7) -Find the GCF of each grouping's-
(9x+4)(6x+7) -factor out the common term-
=(9x+4)(6x+7)