(x^2+6x+10)^2-2(x^2+6x+10)+1=
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(x^2+6x+10)^2-2(x^2+6x+10)+1=
(x^2+6x+10)^2-2(x^2+6x+10)+1=
(x^2+6x+10)^2-2(x^2+6x+10)+1=
(x^2+6x+10)^2-2(x^2+6x+10)+1
= (x^2+6x+10-1)^2
= (x^2+6x+9)^2
= [(x+3)^2]^2 = (x+3)^4