Answer
$(3k^{2}-10)(4k-9)$
Work Step by Step
$12k^{3}-27k^{2}-40k+90=$
...factor out the GCF of each group of two terms.
$=3k^{2}(4k-9)-10(4k-9)$
...factor out the common factor, $4k-9$.
$=(3k^{2}-10)(4k-9)$
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