36−12xy+y2 is a perfect square trinomial
5
6
36−12y+y2 = (6)2−2×6×y+(y)2 = a2−2ab+b2 ( taking 6=a and y=b) = (a−b)2 = (6−y)2
Since given trinomial can be expressed as a2−2ab+b2 , it is perfect square trinomial
a2+2ab+4b2 a perfect square trinomial
The given trinomial 4x2+12xy+9y2
is not a perfect square trinomial.