Question

If a^3+3ab^2/3a^b+b^3=x^3+3xy^2/3x^2y+y^3, show that x/a=y/b​

Answer 1

Answer:

a^3+3ab^2/3a^2b+b^3=x^3+3xy^2/3x^2y+y^3

a(a^2+3b^2)/b(3a^2+b^2)=x(x^2+3y^2)/y(3x^2+y^2) -----(i)

if x/a=y/b

a=xb/y

put the value of a in equation (i)

a/b=x/y

or ay=bx

or x/a=y/b

proved.