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\(a.120=2^3.3.5\)
\(320=2^6.5\)
\(ƯC\left(120;320\right)=\left\{40;80;120;160;200;...\right\}\)
\(ƯCLN\left(120;320\right)=2^3.5=40\)
\(b.455=5.7.13\)
\(950=2.5^2.19\)
\(ƯC\left(455;950\right)=\left\{5;10;15;20;25;...\right\}\)
\(ƯCLN\left(455;950\right)=5\)
\(c.126=2.3^2.7\)
\(108=2^2.3^3\)
\(306=2.3^2.17\)
\(ƯC\left(126;108;306\right)=\left\{18;36;54;72;...\right\}\)
\(ƯCLN\left(126;108;306\right)=2.3^2=18\)
a.120=23.3.5�.120=23.3.5
320=26.5320=26.5
ƯC(120;320)={40;80;120;160;200;...}Ư�(120;320)={40;80;120;160;200;...}
ƯCLN(120;320)=23.5=40Ư���(120;320)=23.5=40
b.455=5.7.13�.455=5.7.13
950=2.52.19950=2.52.19
ƯC(455;950)={5;10;15;20;25;...}Ư�(455;950)={5;10;15;20;25;...}
ƯCLN(455;950)=5Ư���(455;950)=5
c.126=2.32.7�.126=2.32.7
108=22.33108=22.33
306=2.32.17306=2.32.17
ƯC(126;108;306)={18;36;54;72;...}Ư�(126;108;306)={18;36;54;72;...}
ƯCLN(126;108;306)=2.32=18
(2x + 1 ) . ( y - 3 ) = 12
=> 2x+1\(\in\)Ư(12)={ 1; 12; 2; 6; 3;4; -1; -12; -2; -6; -3; -4}
Mà 2x+1 là số lẻ nên 2x+1\(\in\){ 3; 1; -3; -1}
Nếu 2x+1= 3 thì 2x= 3-1 => 2x= 2=> x =1
Nếu 2x+1 = -3 thì 2x= -3-1 => 2x= -4 => x = -2
Nễu 2x+1 = 1 thì 2x = 1-1 => 2x= 0 => x= 0
Nếu 2x+1 = -1 thì 2x= -1-1 => 2x= -2 => x= -1
Phần còn lại tự làm nha bn
\(\Rightarrow4C=4^2+4^3+...+4^{n+1}\)
\(\Rightarrow4C-C=\left(4^2+4^3+...+4^{n+1}\right)-\left(4+4^2+...+4^n\right)\)
\(\Rightarrow3C=4^{n+1}-4\)
\(\Rightarrow C=\frac{4^{n+1}-4}{3}\)
\(4C=4^2+4^3+4^4+...+4^{n+1}\)
\(4C-C=4^2+4^3+...+4^{n+1}-4-4^2-...-4^n\)
\(3C=4^{n+1}-4\)
\(C=\frac{4^{n+1}-4}{3}\)
( - 2019 - 2019 - 2019 - 2019 ) x ( -25 )
= (-4 ) x 2019 x ( - 25 )
= ( -4 ) x ( -25 ) 2019
= 100 x 2019
= 201900
học tốt
Dặt \(A=\frac{1}{6.7}+\frac{1}{7.8}+...+\frac{1}{2019.2020}\)
\(A=\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+...+\frac{1}{2019}-\frac{1}{2020}\)
\(A=\frac{1}{6}-\frac{1}{2020}\)
\(A=\frac{1007}{6060}\)
hok tốt!!
C = 202.25 + 303.9 - 101.67
C = 101.2.25 + 101.3.9 - 101.67
C = 101.(2.25 + 3.9 - 67)
C = 101.(50 + 27 - 67)
C = 101. 10
C = 1010
em cảm ơn cô ạ