If and x > 1, find the value of .

Which one of the following pairs is not correctly matched?

The sum of the squares of two numbers is 545 and the square of their difference is 1. Find the product of the two numbers.

If $$x + y = 5$$ and xy = 4 , find the value of $$x^3 + y^3$$​.

The value of $$\left(x^{\frac{2}{3}} - x^{\frac{1}{3}}y^{\frac{1}{3}} + y^{\frac{2}{3}}\right)\left(x^{\frac{1}{3}} + y^{\frac{1}{3}}\right)$$​ is