1.
(1+2+3+...+2023).(12+22+...+20232).(65.111-13.15.37)
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B=C*[13*37*(5*3-15)]=0
\(A=\dfrac{2^{10}\cdot78}{2^8\cdot26\cdot4}=\dfrac{78}{26}=3\)
Ta có : (1+2+3+.....+100).(12+ 22 +.....+102 ).(65.111 - 13.15.37)
=A .B.(65.111-13.5.3.37)
=A.B.(65.111-65.111)
=A.B.0
=0
(1+2+3+.....+100).(12+22+32+.....+102).(65.111-13.15.37)
=(1+2+3+.....+100).(12+22+32+.....+102)(65.111-13.555)
=(1+2+3+.....+100).(12+22+32+.....+102)(65.111-13.5.111)
=(1+2+3+.....+100).(12+22+32+.....+102)[111(65-65)]
=(1+2+3+.....+100).(12+22+32+.....+102)(100.0)
=(1+2+3+.....+100).(12+22+32+.....+102)0
=0
\(D=\left(2^9.3+2^9.5\right)-2^{12}\)
\(D=2^9.\left(3+2\right)-2^{12}\)
\(D=2^9.5-2^{12}\)
\(D=512.5-4096\)
\(D=2560-4096\)
\(D=-1536\)
\(\left(1+2+3+...+100\right).\left(1^2+2^2+3^2+...+100^2\right).\left(65.111-13.15.37\right)\)
\(=\left(1+2+3+...+100\right).\left(1^2+2^2+3^2+...+100^2\right).\left(7215-7215\right)\)
\(=\left(1+2+3+...+100\right).\left(1^2+2^2+3^2+...+100^2\right).0\)
\(=0\)
D=(29.3+29.5)-212
D=((29.(3+5))-212
D=(29.8)-212
D=(29.23)-212
D=29+3-212
D=212-212
D=0
(1+2+3+...+100).(12+22+32+....+1002).(65.111-13.15.37)
=(1+2+3+...+100).(12+22+32+....+1002).7215-7215
=(1+2+3+...+100).(12+22+32+....+1002).0
=0
C=210-2
C=29+1-2
C=29.2-2
C=2.(29-1)
C=2.(512-1)\
C=2.511
C=1022
F=1+31+32+33+......+3100
F=3+31+32+33+......+3100
3F=3.(3+31+32+33+......+3100)
3F=32+32+33+34+......+3100
3F-F=3100+32-3-3
2F=3100+9-3-3
F=\(\frac{3^{100}+3}{2}\)
Chúc bn học tốt
Tính nhanh:
a) (1+2+3+..+100) x (12 +22+32+...+...102) x ( 65.111-13.15.37)
b)19x64+76x34
c)12x35+65x13
a Ta có
(1+2+3....+100).(1^2+2^2+..+10^2).(13.5.3.37-13.15.37)
=(1+2...+100).(1^2+2^2+...+10^2).0=0
b Ta co
19.64+76.34=19.4.16+76.34=76.16+76.34=76(16+34)=76.50=3100 ( cau c tuong tu )
\(A=\left(1+2+3+...+2023\right)\left(1^2+2^2+...+2023^2\right)\left(65\cdot111-13\cdot15\cdot37\right)\)
\(=\left(1+2+3+...+2023\right)\cdot\left(1^2+2^2+...+2023^2\right)\cdot\left(13\cdot5\cdot3\cdot37-13\cdot5\cdot3\cdot37\right)\)
=0