x^(3)y^(3)+1

Consider the following statements : 1. If A={(x,y) in [RxxR : x^(3)+y^(3)=1]} and B={(x,y) in [R: (x-y)=1]} , then AnnB contains exactly one elements. 2. If A={(x,y) in [RxxR : x^(3)+y^(3)=1]} and B={(x,y) in [R: (x+y)=1]} , then AnnB contains exactly two elements. which of the above statements is/are correct ?

Consider the following statements : 1. If A={(x,y) in [RxxR : x^(3)+y^(3)=1]} and B={(x,y) in [R: (x-y)=1]} , then AnnB contains exactly one elements. 2. If A={(x,y) in [RxxR : x^(3)+y^(3)=1]} and B={(x,y) in [R: (x+y)=1]} , then AnnB contains exactly two elements. which of the above statements is/are correct ?

(x^(-3)-y^(-3))/(x^(-3)y^(-1)+(xy)^(-2)+y^(-3)x^(-1))=

The triplicate ratio of the ratio x^(1/3)y^(1/3): y^(1/3) z^(1/3) is

If x^(1/3)+y^(1/3)+z^(1/3)=0 , then prove that (x+y+z)^3=27xyz

Find the area enclosed by x^(1/3)+y^(1/3)=1 and the co-ordinate axis.

Factorize: x^3y^3+1

Solve (dy)/(dx)+x(x+y)=x^(3)(x+y)^(3)-1.

Solve (dy)/(dx)+x(x+y)=x^(3)(x+y)^(3)-1.

Evaluate : (x^(1//3)+y^(1//3))(x^(2//3)-x^(1//3)y^(1//3)+y^(2//3)) , when x=4(5)/(7) " and " y=5(2)/(7) .