The fifth power of polynomial x-9xy is decomposed into rational number range, real number range and complex number range in the following range

The fifth power of polynomial x-9xy is decomposed into rational number range, real number range and complex number range in the following range

The fifth power of X, the fifth power of y-9xy plus a Y
=XY (the fourth power of X - the fourth power of 9y)
=XY (x square + 3Y Square) (x square - 3Y Square) rational number range
=XY (x square + 3Y Square) (x + √ 3Y) (x - √ 3Y) real number range
=XY (x + √ 3yi) (x - √ 3yi) (x + √ 3Y) (x - √ 3Y) complex range