Work Step by Step
This is a perfect square trinomial in the following manner $$ -bx^2 -12bx - 36b=-b(x^2+12x+36)=-b(x+6)(x+6) .$$ One can check as follows $$ -b(x+6)(x+6)=-b(x^2+12x+36)=-b(x^2+6x+6x+36)=-bx^2 -12bx - 36b .$$
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