Tính nhanh:(12+22+32+...+1 000 0002).(91-273:3)
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vbuiglllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
= 900 00 + 900 0001 + 900 002 + 900 0003 + 900 004 + 900 005+ ... + 1 000 000 + 1 000 001 + 1 000 0002 + 1 000 003 + 1 000 004 + 1 000 005 nhé bn

91-273:3=91-91=0
=>(12+22+32+...+1002)(91-273:3)=(12+22+32+...+1002).0=0

(12+22...+10002).(91-273:3)
=(12+22...+10002).(91-91)
=(12+22...+10002).0
=0

a) 198 + 232 - 98 - 32 = (232 - 32) + (198 - 98) = 300.
b) 567 - 32 - 68 = 567 - (32 + 68) = 467.
c) 99 - 97 + 95 - 93 + 91 - 89+ ...+7 - 5 + 3 - 1
= (99 - 97) + (95 - 93) + (91 - 89) +... + (7 - 5) + (3 -1)
= 2 + 2 + 2 + . .. + 2 + 2 = 2.25 = 50.


S = 22 + 42 + 62 + ... + 202
= (2.1)2 + (2.2)2 + (2.3)2 ... (2.10)2
= 22.12 + 22.22 + 22.32 + ... + 22.102
= 22 (12 + 22 + ... + 102 )
= 4 . 385 = 1540
\(\left(1^2+2^2+3^2+...+1000000^2\right).\left(91-273:3\right)\\ =\left(1^2+2^2+3^2+...+1000000^2\right).0=0\)
(12+22+32+..+10000002).(91-273:3)
=(12+22+32+..+10000002).(91-91)
=(12+22+32+..+10000002).0
=0