Expand the following:
(6 x-4 y)^2
(6 x-4 y) (6 x-4 y) = (6 x) (6 x) + (6 x) (-4 y) + (-4 y) (6 x) + (-4 y) (-4 y):
6×6 x x-4×6 x y-4×6 y x-4 (-4) y y
6 x×6 x = 6×6 x^2:
6×6 x^2-4×6 x y-4×6 y x-4 (-4) y y
6×6 = 36:
36 x^2-4×6 x y-4×6 y x-4 (-4) y y
6 (-4) = -24:
36 x^2+-24 x y-4×6 y x-4 (-4) y y
-4×6 = -24:
36 x^2-24 x y+-24 y x-4 (-4) y y
-4 y (-4) y = -4 (-4) y^2:
36 x^2-24 x y-24 y x+-4 (-4) y^2
-4 (-4) = 16:
Answer: | 36x^2 - 24xy - 24yx + 16y^2
