Question

已知x=根号3+1,y=根号3-1,求x^2y+xy^2分之x^2-y^2

Answer 1

x+y=2根号3

xy=2

x-y=2

x^2y+xy^2=xy(x+y)

x^2-y^2=(x+y)(x-y)

x^2y+xy^2分之x^2-y^2=(x-y)/xy=2/2=1