A notation # is defined as $a\#b=4a^2+4b^2+8ab$ for all non-negative integers. What is the value of $(x+y)+6$ when $x\#y = 144$?

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সঠিক উত্তর: । ব্যাখ্যা: বলা আছে $a\#b=4a^2+4b^2+8ab$। তাহলে $x\#y=4x^2+4y^2+8xy$। এখন $4x^2+4y^2+8xy=144 \Rightarrow x^2+y^2+2xy=36 \Rightarrow (x+y)^2=36 \Rightarrow x+y=6$। সুতরাং , $x+y+6=6+6=12$।

A notation # is defined as \(a\#b=4a^2+4b^2+8ab\) for all non-negative integers. What is the value of \((x+y)+6\) when \(x\#y = 144\)?