Answer:
[tex]X^2-2x+1[/tex]
Step-by-step explanation:
Traditional pattern for a perfect square:
[tex]x^{2} +2ax+a^{2}[/tex]
Which factors into: [tex](x+a)^2[/tex]
We know becuase a is "missing" from the original equation that it must equal 1; therefore:
[tex]x^2+2x+1[/tex]
Which we know is correct because it factors into: [tex](x+1)^2[/tex]