Answer
$4y^{2}-16y+16$
Work Step by Step
$(2y-4)^{2}=(2y-4)(2y-4)=2y(2y-4)-4(2y-4)=(2y)(2y)+(2y)(-4)-4(2y)-4(-4)=4y^{2}-8y-8y+16=4y^{2}-16y+16$
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