Tính nhanh: 2015*9 - 2015*3 - 2015*6
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a, A=333(999+3):2=166833\
b, B=3737x83-8383x37+2015
=37x101x83-8383x37+2015
=8383x37-8383x37+2015
=0+2015
=2015
B1 :
Số hạng tử của A là
(999 - 3 ):3 + 1 = 333 (hạng tử)
A = 3 + 6 + 9 ... + 999
A = (3 +999) + (6 + 996) + ...
A = 1002 +1002 +.. + 1002
A = 1002 . 333 :2 = 166833
b/ B = 37 x101 x 8 3 + 83x 1 01x37 + 2015 = 2015
\(\frac{\left(-4\right)^6.9^5-\left(-6\right)^9.120.1^{2015}}{8^4.3^{12}-6^{11}.2016^0}=\frac{\left(2^2\right)^6.\left(3^2\right)^5+\left(2.3\right)^9.2^3.3.5.1}{\left(2^3\right)^4.3^{12}-\left(2.3\right)^{11}.1}=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}.\left(1+5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}=\frac{2.6}{3.5}=\frac{4}{5}\)
\(\frac{\left(-4\right)^6.9^5-\left(-6\right)^9.120.1^{2015}}{8^4.3^{12}-6^{11}.2016^0}=\frac{\left(-2\right)^{12}.3^{10}+2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}=\frac{2^{12}.3^{10}.\left(1+5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}=\frac{2.6}{3.5}=\frac{4}{5}\)
= 2015 x ( 3 + 6 + 1 )
= 2015 x 10
= 20150
2016 x ( 111 - 11 )
= 2016 x 100
= 201600
tk mình nhé
thank you very much
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2015x3+2015x6+2015
= 2015 x ( 3+6+1 )
= 2015 x 10
= 20150
2016x111-11x2016
= 2016 x ( 111-11)
= 2016x100
= 201600
=2015-(2015-2016)-2016+22017-2015-22015/22014-(1-4)-3-(5+6)+11
=(2015-2015)+(2016-2016)+22-2+3-3-11+11
=0+0+(4-2)+(3-3)-(11-11)
=2
2015x9-2015x3-2015x6
=2015x(9-3-6)
=2015x0
=0
k mk nha
2015 x 9 - 2015 x 3 - 2015 x 6
= 2015 x ( 9 - ( 3 + 6 ) )
= 2015 x ( 9 - 9 )
= 2015 x 0
= 0