(2x^m - 3y^n)^2 = (2x^m - 3y^n)(2x^m - 3y^n)Expanding using the distributive property:= (2x^m)(2x^m) + (2x^m)(-3y^n) + (-3y^n)(2x^m) + (-3y^n)(-3y^n)= 4x^(2m) - 6x^my^n - 6x^my^n + 9y^(2n)Simplifying further:= 4x^(2m) - 12x^m*y^n + 9y^(2n)
(2x^m - 3y^n)^2 = (2x^m - 3y^n)(2x^m - 3y^n)
Expanding using the distributive property:
= (2x^m)(2x^m) + (2x^m)(-3y^n) + (-3y^n)(2x^m) + (-3y^n)(-3y^n)
= 4x^(2m) - 6x^my^n - 6x^my^n + 9y^(2n)
Simplifying further:
= 4x^(2m) - 12x^m*y^n + 9y^(2n)