(1/3*1/2m+1/3*(-3)-m*1/2m-m*(-3)
(1/3*1/2m+1*(-1)-m*1/2m-m*(-3)
(m/2*3+1*(-1)-m*1/2m-m*(-3)
1/6m+1*(-a)-m=1/2m-m*(-3)
(1/6m-1-m*1/2m-m*(-3)
(1/6m-1-1/2m^2-m*(-3)
(1/6m-1-1/2m^2+3m)
(-1/2m^2+1/6m+3m-1)
(-1/2m^2+1/6m+3m*6/6-1)
(-1/2m^2+1/6m+18m/6-1)
(-1/2m^2+1/6(m+18m)-1)
(-1/2m^2+19m/6-1)
-1/2m^2+19m/6-1 ответ!
Меньшее число = х
второе = х+1
третье = х+2
четвертое = х+3
(х+2)(х+3) - х(х+1) = 54
х² + 3х + 2х + 6 - х² - х = 54
4х = 54 - 6
4х = 48
х = 48/4
х = 12 ← первое число
второе = х+1 = 12 + 1 = 13
третье = х+2 = 12 + 2 = 14
четвертое = х+3 = 12 + 3 = 15
Ответ: 12; 13; 14; 15.
Проверим:
14 * 15 = 210
12 * 13 = 156
210 - 156 = 54
верно.