Question

化简x-y分之x + x³-2x²y+xy²分之y³ ÷ y²-x

Answer 1

原式=x/(x-y)+y³/x(x-y)²÷[-y(x+y)/(x+y)(x-y)]

=x/(x-y)-y³/x(x-y)²×(x-y)/y

=x/(x-y)-y²/x(x-y)

=(x²-y²)/x(x-y)

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

=(x+y)/x