# Factor the four-term polynomial by grouping. 18x^{2}y-24x^{2}-27y+36

Factor the four-term polynomial by grouping.
$18{x}^{2}y-24{x}^{2}-27y+36$
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zurilomk4
Step 1
Factorization of the given polynomial
Step 2
$18{x}^{2}y-24{x}^{2}-27y+36$
$3\left(6{x}^{2}y-8{x}^{2}-9y+12\right)$
$3\left(2{x}^{2}\left(3y-4\right)-3\left(3y-4\right)\right)$
$⇒3\left(2{x}^{2}-3\right)\left(3y-4\right)$