Упростите выражение x-9y/x2-9y2- 3y/3xy-x2

Question

Упростите выражение x-9y/x2-9y2- 3y/3xy-x2

Answer 1

=(x -9y)/(x -3y)(x +3y) + 3y/x(x -3y) =

=(x(x -9y) +3y(x +3y)) /x(x -3y)(x +3y) =

=(x² -9xy +3xy +9y²) /x(x -3y)(x +3y) =

=(x² -6xy +9y²) /x(x -3y)(x +3y) =

=(x -3y)² /x(x -3y)(x +3y) =

=(x -3y) /x(x +3y)