The given equation-(3x + 5)^2 is not a perfect trinomial because it is not obtained through the multiplication of a binomial.
A perfect square trinomial is takes the algebraic expression form ax^2 +bx + c, where the square root of the first term and the third term is the equation to the second term.
Given that:
-(3x + 5)^2
Open brackets
= - (9x +30x + 55)
Multiply through by (-)
= -9x^2 - 30x - 55
Therefore, we can conclude that the given equation-(3x + 5)^2 is not a perfect trinomial because it is not obtained through the multiplication of a binomial. i.e. the multiplication of the square root of the first and the third term did not result in the 2nd term.
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