The sum of two whole numbers is 7 and the sum of their cubes is 133, find the sum of their squares.

In each of the following, find the value of 'a' :

(i) 4x² + ax + 9 = (2x + 3)²

(ii) 4x² + ax + 9 = (2x - 3)²

(iii) 9x² + (7a - 5)x + 25 = (3x + 5)²

The difference between two positive numbers is 4 and the difference between their cubes is 316. Find :

(i) their product

(ii) the sum of their squares.