P=(2^17+15^4).(3^19-2^17).(2^4-4^2)
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`#3107.101107`
\(-16 \div (-8)+5[3-15\div5+2(-3+4)]\)
`= 2 + 5(3 - 3 - 6 + 8)`
`= 2 + 5*(-6 + 8)`
`= 2 + 5*2`
`= 2(5 + 1)`
`= 2*6 = 12`
____
`15*(-236)+15*235`
`= 15 * (-236 + 235)`
`= 15 * (-1)`
`= -15`
____
`237*(-28)+28*137`
`= 28 * (-237 + 137)`
`= 28 * (-100)`
`= -2800`
____
`(-3)*(-17)+3*(120-17)`
`= 3 * 17 + 3 * (120 - 17)`
`= 3 * (17 + 120 - 17)`
`= 3 * 120`
`= 360`
____
`(-8)*72+8*(-19)-(-8)`
`= 8 * (-72) + 8 * (-19) + 8`
`= 8 * (-72 - 19 + 1)`
`= 8 * (-90)`
`= -720`
a)−16÷(−8)+5[3−15÷5+2(−3+4)]
=2+5(3−3−6+8)
=2+5⋅(−6+8)
=2+5⋅2
=2(5+1)
=2⋅6
=12
b)15⋅(−236)+15⋅235
=15⋅(−236+235)
=15⋅(−1)
=−15
c)237⋅(−28)+28⋅137
=28⋅(−237+137)
=28⋅(−100)
=−2800
d)(−3)⋅(−17)+3⋅(120−17)
=3⋅17+3⋅(120−17)
=3⋅(17+120−17)
=3⋅120
=360
e)(−8)⋅72+8⋅(−19)−(−8)
=8⋅(−72)+8⋅(−19)+8
=8⋅(−72−19+1)
=8⋅(−90)
=−720
( -4 )2- 15 . ( -6 ) - ( - 17 ) + 3
= 16 - (- 90 ) + 17 + 3
= 106 + 20
= 126
Đặt \(A=1.2.3+2.3.4+3.4.5+...+17.18.19\)
\(\Rightarrow3A=1.2.3.3+2.3.4.3+3.4.5.3+...+17.18.19.3\)
\(\Rightarrow3A=1.2.3.\left(4-1\right)+2.3.4.\left(5-2\right)+3.4.5.\left(6-3\right)\)
\(+17.18.19\left(20-16\right)\)
\(=17.18.19.20\)
\(\Rightarrow A=38760\)
Vậy \(1.2.3+2.3.4+3.4.5+...+17.18.19=38760\)
2^15-1/2^17=32767,9999923706
2^17-1/2^19-1=131071
=> A<B
=\(\left(2^{17}+15^4\right).\left(3^{19}-2^{17}\right).\left(2^4-4^2\right)\)
=\(\left(2^{17}+15^4\right).\left(3^{19}-2^{17}\right).\left(2^4-2^4\right)\)
=\(\left(2^{17}+15^4\right).\left(3^{19}-2^{17}\right).0\)
\(=0\)
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