factorise : 3x2 + 2 root 6 xy+ 2y2

3x2+26xy+2y2=3x2+23x2y+2y2                           =3x2+23x2y+2y2                           =3x+2y2   Using identity, a2+2ab+b2=a+b23x2+26xy+2y2=3x+2y2

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3x2 + 2 root 6 +2y​2
a2 +2ab +b= (a+b)2
(root 3)2  + 2 x root 3 x root 2 + (root 2)2 = (root 3 +root 2)2
 
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