Question

Calculati si stabiliti care dintre numerele a si b este mai mare: a=18×19+20×21-22×23+2×[15+3×(40^2-49^2)];
b=2013×2012+2013×2011-2013×2022+7×[9+2×(53^2-52^2)].
DAU CORONITA!!!

Answer 1

a = 18 x 19 + 20 x 21 - 22 x 23 + 2 x [ 15 + 3 x ( 40² - 49² ) ]

a = 342 + 420 - 506 + 2 x [ 15 + 3 x ( 1 600 - 2 401 ) ]

a = 762 - 506 + 2 x [ 15 + 3 x ( - 801 ) ]

a = 256 + 2 x ( 15 - 2 403 )

a = 256 + 2 x ( - 2388 )

a = 256 - 4 776

a = - 4 520

________________

b = 2013 x 2012 + 2013 x 2011 - 2013 x 2022 + 7 x [ 9 + 2 x ( 53² - 52²)

b = 2013 x ( 2012 + 2011 - 2022 ) + 7 x [ 9 + 2 x ( 2 809 - 2 704 ) ]

b = 2013 x ( 2023 - 2022 ) + 7 x ( 9 + 2 x 105 )

b = 2013 x 1 + 7 x ( 9 + 210 )

b = 2013 + 7 x 219

b = 2013 + 1 533

b = 3546

_____________

a = - 4 520 si b = 3 546 ⇒ a < b