`(1)/(8)zx^(2)y-(1)/(7)z^(2)xy+(1)/(6)zy^(2)x-(1)/(5)zy^(2)x^(2)-(1)/(4)xyz^(2)+(1)/(3)xy^(2)z-(1)/(2)x^(2)y^(2)z`

valueof(-5x^(2)y)xx(-(2)/(3)xy^(2)z)xx((8)/(15)xyz^(2))xx(-(1)/(4)z)is

tan^(-1)""(x-y)/(1+xy)+tan^(-1)""(y-z)/(1+yz)+tan^(-1)""(z-x)/(1+zx) =tan^(-1)""(x^(2)-y^(2))/(1+x^(2)y^(2))+tan^(-1)""(y^(2)-z^(2))/(1+y^(2)z^(2))+tan^(-1) ""(z^(2)-x^(2))/(1+z^(2)x^(2))

Find the following products: (6x)/(5)(x^(3)+y^(3)) (ii) xy(x^(3)-y^(3))0.1y(0.1x^(5)+0.1y)( iv) (8)/(27)xyz((3)/(2)xyz^(2)-(9)/(4)xy^(2)z^(3))

If V is the volume of a cuboid of dimensions x,y,z and A is its surface area,then (A)/(V)x^(2)y^(2)z^(2)( b) (1)/(2)((1)/(xy)+(1)/(yz)+(1)/(zx))(1)/(2)((1)/(x)+(1)/(y)+(1)/(z))(d)(1)/(xyz)

If x+y+z=xyz , prove that: a) (3x-x^(3))/(1-3x^(2))+(3y-y^(3))/(1-3y^(2))+(3z-z^(3))/(1-3z^(2))= (3x-x^(3))/(1-3x^(2)).(3y-y^(3))/(1-3y^(2)).(3z-z^(3))/(1-3z^(2)) b) (x+y)/(1-xy) + (y+z)/(1-yz)+(z+x)/(1-zx)= (x+y)/(1-xy) .(y+z)/(1-yz).(z+x)/(1-zx)

xy+yz+zx=1rArr(x)/(1+x^(2))+(y)/(1+y^(2))+(z)/(1+z^(2))=

Multiply: (-5x^(2)y),((-2)/(3)xy^(2)z),((8)/(15)xyz^(3)) and ((-1)/(4)z)

Factorise : x(1+y^(2))(1+z^(2))+y(1+z^(2))(1+x^(2))+z(1+x^(2))(1+y^(2))+4xyz