Question

Помогите решить номер 35 пожалуйста!

Answer 1

a) 99*101 = (100-1)(100+1) = 100²-1

100² > 100²-1

100² > 99*101

б) -79*75 = -(77+2)(77-2) = -(77²-2²) = -77²+4

-77² < -77²+4

-77² < -79*75

в) 1 8/9 * 2 1/9 = (2 - 1/9)(2 + 1/9) = 4 - 1/81

4 - 1/9 < 4 - 1/81

4 - 1/9 < 1 8/9 * 2 1/9

г) 35⁴ = (35²)² = 35²*35²

31*33*37*39 = (35-4)*(35-2)*(35+2)*(35+4) = (35²-4²)(35²-2²)

35²*35² > (35²-4²)(35²-2²)

35⁴ > 31*33*37*39