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Answer:
A. No, 4x² + 6x + 9 is not a perfect square. 4x² and 9 are perfect squares, but 6x is not equal to 2(2x)(3).
Step-by-step explanation:
The square of a binomial is ...
(a +b)² = a² +2ab +b²
Here the first and last terms are perfect squares, so we might assume that ...
a = 2x, b = 3
This would require the middle term to be 2ab = (2)(2x)(3) = 12x, which it is not. So, the given trinomial is not a perfect square.
