If `A=(x^3+y^3)/((x-y)^2+3xy), B=((x+y)^2-3xy)/(x^3-y^3), C=(xy)/(x^2-y^2)` then `(A-:B)xxC=`

If P= (x^3+y^3)/((x-y)^2+3xy), Q= ((x+y)^2-3xy)/(x^3-y^3) and R=((x+y)^2+(x-y)^2)/(x^2-y^2) , then (P div Q) xx R is equal to: यदि P= (x^3+y^3)/((x-y)^2+3xy), Q= ((x+y)^2-3xy)/(x^3-y^3) तथा R=((x+y)^2+(x-y)^2)/(x^2-y^2) है, तो (P div Q) xx R का मान क्या होगा ?

On simplification, (x^3-y^3)/(x[(x+y)^2-3xy]) div (y[(x-y)^2+3xy])/(x^3+y^3)xx ((x+y)^2-(x-y)^2)/(x^2-y^2) is equal to : सरलीकरण के बाद, (x^3-y^3)/(x[(x+y)^2-3xy]) div (y[(x-y)^2+3xy])/(x^3+y^3)xx ((x+y)^2-(x-y)^2)/(x^2-y^2) किसके बराबर होगा?

Veriffy : (i) x^(3)+y^(3)=(x+y)(x^(2)-xy+y^(2))x^(3)-y^(3)=(x-y)(x^(2)+xy+y^(2))

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

Verify : (i) x^(3)+y^(3)=(x+y)(x^(2)-xy+y^(2)) (ii) x^(3)-y^(3)=(x-y)(x^(2)+xy+y^(2))

Verify the following : (i) x^3+y^3=(x-y)(x^2-xy+y^2) (ii) x^3-y^3=(x-y) (x^2+xy+y^2)