the product of the squares of two positive integers is 900 . how many pairs of positive integers satisfy this condition ?
"ans : e - 4 pairs ( x ˆ 2 ) ( y ˆ 2 ) = 900 [ square root both sides ] xy = 30 20 = 1 x 30 , 3 x 10 , 6 x 5 , 5 x 6 , 10 x 3 , 30 x 1 , 15 x 2 , 2 x 15 cancel the repeats this leaves us with exactly 4 options . hence , e"
subtract(add(const_2, const_3), const_2)