Expanding the given expression, we get:(3x - y)^2 - (x - 3y)^2= (3x - y)(3x - y) - (x - 3y)(x - 3y)= (9x^2 - 6xy + y^2) - (x^2 - 6xy + 9y^2)= 9x^2 - 6xy + y^2 - x^2 + 6xy - 9y^2= 8x^2 - 8y^2
Therefore, (3x - y)^2 - (x - 3y)^2 simplifies to 8x^2 - 8y^2.
Expanding the given expression, we get:
(3x - y)^2 - (x - 3y)^2
= (3x - y)(3x - y) - (x - 3y)(x - 3y)
= (9x^2 - 6xy + y^2) - (x^2 - 6xy + 9y^2)
= 9x^2 - 6xy + y^2 - x^2 + 6xy - 9y^2
= 8x^2 - 8y^2
Therefore, (3x - y)^2 - (x - 3y)^2 simplifies to 8x^2 - 8y^2.