Answer
$2(4y-3)^2$
Work Step by Step
Consider the polynomial $(32y^2-48y+18)$
Take out common terms.
or, $=2(16y^2-24y+9)$
Now, factor out the greatest common factor, such as:
$=2[(4y)^2-(2)(4y)(3)+3^2]$
$=2(4y-3)(4y-3)$
Hence, $(32y^2-48y+18)=2(4y-3)^2$