\(\dfrac{1989\times1990+3978}{1992\times1991-3984}\)
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(=\dfrac{1989\left(1990+2\right)}{1992\left(1991-2\right)}=\dfrac{1989}{1989}\cdot\dfrac{1992}{1992}=1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(1989.1990+3978\right):\left(1992.1991-3984\right)\)
\(=\left[1989.\left(1990+2\right)\right]:\left[1992\left(1991-2\right)\right]=\left(1989.1992\right):\left(1992.1989\right)=1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{1989\times1990+3978}{1992\times1991-3984}\)
\(=\dfrac{1989\times1990+1989\times2}{1992\times1991-1992\times2}\)
\(=\dfrac{1989\times\left(1990+2\right)}{1992\times\left(1991+2\right)}\)
\(=\dfrac{1989\times1992}{1992\times1989}\)
\(=1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1989\times1990+3978}{1992\times1991-3984}=\frac{1989\times1990+1989\times2}{1992\times1991-1992\times2}=\frac{1989\times\left(1990+2\right)}{1992\times\left(1991-2\right)}=\frac{1989\times1992}{1992\times1989}=1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) ( 1989 x 1990 + 3978 ) : ( 1992 x 1991 - 3984 )
= 3 962 088 : 3 962 088
= 1
\(\text{Ta có : }\dfrac{1989\cdot1990+3978}{1992\cdot1991-3984}=\dfrac{1989\cdot1990+1989\cdot2}{1992\cdot1991-1992\cdot2}\\ =\dfrac{1989\left(1990+2\right)}{1992\left(1991-2\right)}\\ =\dfrac{1989\cdot1992}{1992\cdot1989}\\ =1\)
Đặt:
\(A=\dfrac{1989.1990+3978}{1992.1991-3984}\)
\(A=\dfrac{1989.1990+1989.2}{1992.1991-3984}\)
\(A=\dfrac{1989\left(1990+2\right)}{1992.1991-3984}\)
\(A=\dfrac{1989.1992}{1992.1991-3984}\)
\(A=\dfrac{1989.1992}{1992\left(1989+2\right)-3984}\)
\(A=\dfrac{1989.1992}{1992.1989+1992.2-3984}\)
\(A=\dfrac{1989.1992}{1992.1989+3984-3984}\)
\(A=\dfrac{1989.1992}{1992.1989}=1\)