Yes; the factored form would be (9c+4)(9c+4) or just (9c+4)2
Since the two factors are the same, the beginning trinomial 81c2+72c+16 is a perfect square trinomial
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Yes (x+3(x+3)
Yes because its discriminant is equal to zero
It's a second degree trinomial expression in x. It's a perfect square, being the square of (x-2).
The given quadratic expression can not be factored as a perfect square.
Yes.