An identity that generates Ramanujan’s taxi numbers

(x^2 + 9*x*y - y^2)^3 + (12*x^2 - 4*x*y + 2*y^2)^3 = (9*x^2 - 7*x*y-y^2)^3 + (10*x^x+2*y^2)^3
This is an identity discovered by Ramanujan. When x = 1 and y = 0, it reproduces the moment when Ramanujan, while hospitalized,
heard the taxi license plate number 1729 and immediately replied, “1729 = 1³ + 12³ = 9³ + 10³.”