The answer is False
A Perfect Square Trinomial should be in the form of this:
[tex] a^{2} + 2ab + b^{2} [/tex]
The following, [tex] 100x^{2} -10xy+ y^{2} [/tex], definitely does not follow the rule given and, therefore, is not a Perfect Square Trinomial.
I hope this helped!! Have an amazing day :)