Answer
$2(5y+6)^2$.
Work Step by Step
The given polynomial is
$=50y^2+120y+72$
Factor out $2$.
$=2(25y^2+60y+36)$
Write the the polynomial as $a^2+2ab+b^2$.
$=2((5y)^2+2(5y)(6)+6^2)$
Use perfect square trinomial pattern
$a^2+2ab+b^2=(a+b)^2$
We have $a=5y$ and $b=6$.
$=2(5y+6)^2$
Hence, the factor of the given polynomial is $2(5y+6)^2$.
