x² + 121 can be made a perfect square by adding
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x^(2 )+ 121
x^(2) + (11)^ 2
(x+11) ^ 2 = x^2 + (2)(11)(x) + (11)^2
= x^2 + 22x + 121
Therefore 22x should be added to x^2 + 121 to make it a perfect square.
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