" 3."x^(2/3)+y^(2/3)=a^(2/3)

The equation of normal to the curve x^(2//3)+y^(2//3)=a^(2//3) at (asin^(3) theta, a cos^(3) theta) is

The equation of normal to the curve x^(2//3)+y^(2//3)=a^(2//3) at (asin^(3) theta, a cos^(3) theta) is

(x^(-3)/y^3)^(2/3)xx(x^(3)/y^(-3))^((-2)/3)

If x+y+z=1, then 1-3x^(2)-3y^(2)-3z^(2)+2x^(3)+2y^(3)+2z^(3) is equal to

(x+y)^(3)-(x-y)^(3) can be factorized as 2y(3x^(2)+y^(2)) (b) 2x(3x^(2)+y^(2))2y(3y^(2)+x^(2)) (d) 2x(x^(2)+3y^(2))

The value of the expression ((x ^(2) - y ^(2)) ^(3) + ( y ^(2) - z ^(2)) ^(3) + (z ^(2) - x ^(2)) ^(3))/((x - y) ^(3) + ( y - z) ^(3) + (z - x ) ^(3)) is

If x^2=y^3 , then prove that (x/y)^(3/2)+(y/x)^-(2/3)=x^(1/2)+y^(1/3) .