Question

3. Вычислите: 1) (106 ^ 2 - 121)/(122 ^ 2 - 64) + 5/6

Answer 1

(106^2 - 121)/(122^2 - 64) + 5/6

= ((106+11)(106-11))/(122+8)(122-8) + 5/6

= (11795)/(130114) + 5/6

= (11115/14820) + 5/6

= (11115/14820) + (6180/14820)

= (11115 + 6180)/14820

= 17295/14820

= 385/332

(106^2 - 121)/(122^2 - 64) + 5/6 = 385/332.