Answer:
f(x)=2x^2+4x+6
f(x)=2(x^2+2x)+6
f(x)+?=2(x^2+2x+?)+6
f(x)+?=2(x^2+2x+1)+6
f(x)+2x1=2(x^2+2x+?)+6
f(x)+2=2(x^2+2x+1)+6
f(x)=2(x+1)^2+6-2
f(x)=2(x+1)^2+4
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