Yes, I agree.Let's break these down to their prime factors first.5x^2 = 5*x^2 = 5*x*xWhere as (-5x)^2 = (-5x)*(-5x) = 25*x*x = 5*5*x*xAs you can see, in 5x^2, x*x (or x^2), is multiplied by 5 once.However, in 5x^2, it is multiplied by 5 twice (or 5^2).
Is there any exceptional cases?
yes, if x is greater than 0∪x<0
For example we take (x) to be 2,5 x 2 x 2= 20 (-5 x 2) (-5 x 2) = 100This shows that (-5x)^2 is larger than 5x^2 and so I agree with Jennifer.
Have you tested it with enough numbers to conclude?