The perfect square trinomial follows the expression: (ax)^2 + 2abx + b^2
In this case a= 1, 2ab=-10 and c=b^2
Using a to isolate b, we have:
2(1)b=-10 (Replacing a=1)
2b = -10 (Multiplying)
b= -10/2 (Dividing by 2 on both sides of the equation)
b= -5
So, c = b^2= (-5)^2=25
The answer is the option D.
