Given the square of X - the square of y = 12, x + y = 6, find the value of Y power of X - x power of Y

Given the square of X - the square of y = 12, x + y = 6, find the value of Y power of X - x power of Y

Square of X - square of y = 12
(X+Y)(X-Y)=12
X-Y=2
X=4
Y=2
Y power of X - x power of y = 0