Is the following trinomial $x^2 + 18x + 81$ a perfect square?

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Answer 1 · 2015-04-08T11:47:44

Since $x^2+18x+81 = (x+9)^2$

$x^2+18x+81$ is considered a perfect (polynomial) square
even though (if $x$ is not an integer) its value might not be a perfect square.

Is the following trinomial x^2 + 18x + 81 x^2 + 18x + 81 a perfect square?