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a) 1.2.3...9 - 1.2.3...8 - 1.2.3...7.82
=1.2.3.4.5.6.7.8(9-1-8)
=1.2.3.4.5.6.7.8.0
=0
a)\(\left(10^2+11^2+12^2\right)\div\left(13^2+14^2\right)\)
\(=\left(100+121+144\right)\div\left(169+196\right)\)
\(=365\div365\)
\(=1\)
b) \(1.2.3...9-1.2.3...8-1.2.3...8^2\)
\(=1.2.3...8\left(9-1-8\right)\)
\(=1.2.3...8.0\)
\(=0\)
d) \(1152-\left(374+1152\right)+\left(-65+374\right)\)
\(=1152-374-1152-65+374\)
\(=\left(1152-1152\right)-65+\left(374-374\right)\)
\(=0-65+0\)
\(=-65\)
e) \(13-12+11+10-9+8-7-6+5-4+3+2-1\)
\(=13-\left(12-11\right)+\left(10-9\right)+\left(8-7\right)-\left(6-5\right)-\left(4-3\right)\)\(+\left(2-1\right)\)
\(=13-1+1+1-1-1+1\)
\(=13+0+0+0\)
\(=13\)
=1.2.3.4.5.6.7.8 .(9-1-8)
1.2.3.4.5.6.7.8.0=0
Ủng hộ mk nha
Câu 1 dễ mà :
1.2.3...9 - 1.2.3...8 - 1.2.3...7.82
= 1.2.3...8.9 - 1.2.3...8.1 - 1.2.3...7.8.8
= 1.2.3...8.( 9 - 1 - 8 )
= 1.2.3...8.0
= 0
1.2.3...9 - 1.2.3...8 - 1.2.3...7.82
= 1.2.3....8.9 - 1.2.3....8 - 1.2.3...7.8.8
= (1.2.3...8).9 - (1.2.3...8).1 - (1.2.3....7.8).8
= (1.2.3...8). (9 - 1 - 8) = (1.2.3...8) . 0 = 0
Tính A = 1.2.3....9 - 1.2.3...8 - 1.2.3...8\(^2\)
A = 1.2.3....8.9 - 1.2.3...8.(1 + 8)
A = 1.2.3...8.9 - 1.2..8.9
A = 0
hở
Ta có: \(1\cdot2\cdot3\cdot\ldots\cdot9-1\cdot2\cdot3\cdot\ldots\cdot8-1\cdot2\cdot3\cdot\ldots\cdot7\cdot8^2\)
\(=1\cdot2\cdot3\cdot\ldots\cdot8\left(9-1-8\right)\)
=0