Question

Решите пожалуйста!!

(3x^(2)-8y^2)/(x^(2)-2xy) - (3xy-x^(2))/(xy-2y^(2))

Answer 1

Ответ:

(3x²-8y²)/x(x-2y)-(3xy-x²)/y(x-2y)=y(3x²-8y²)/xy(x-2y)-x(3xy-x²)/xy(x-2y)=(3x²y-8y³-3x²y+x³)/xy(x-2y)=(x³-8y³)/xy(x‐2y)=(x-2y)(x²+xy+4y²)/xy(x-2y)=(x²+xy+4y²)/xy