Problem: the product of the squares of two positive integers is 100 . how many pairs of positive integers satisfy this condition ?
Rationale: "ans : c - 2 pairs ( x ˆ 2 ) ( y ˆ 2 ) = 100 [ square root both sides ] xy = 10 10 = 1 x 10 , 10 x 1 , 2 x 5 , 5 x 2 cancel the repeats this leaves us with exactly 2 options . hence , c"
annotated_formula: subtract(add(const_2, const_3), const_2)