rút gọn
1998x1990+3978 phần1992x1991-1998
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a/\(\frac{2^3\cdot3^4}{2^2\cdot3^2\cdot5}=\frac{18}{5}\)\(\frac{2^4\cdot5^2\cdot11^2\cdot7}{2^3\cdot5^3\cdot7^2\cdot11}=\frac{2\cdot11}{5\cdot7}=\frac{22}{35}\)
b/\(\frac{121\cdot75\cdot130\cdot169}{39\cdot60\cdot11\cdot198}=\frac{11^2\cdot5^3\cdot13^3\cdot2\cdot3}{2^3\cdot3^4\cdot5\cdot11^2\cdot13}=\frac{5^2\cdot13^2}{2^2\cdot3^3}=\frac{4225}{108}\)
c/\(\frac{1998\cdot1990+3978}{1992\cdot1991-3984}=\frac{2^2\cdot3^3\cdot37\cdot5\cdot199+2\cdot3^2\cdot13\cdot17}{2^3\cdot3\cdot83\cdot11\cdot181-2^4\cdot3\cdot83}=\frac{2\cdot3^2\cdot11\cdot20101}{2^3\cdot3^3\cdot13\cdot17\cdot83}=\frac{11\cdot20101}{2^2\cdot3\cdot13\cdot17\cdot83}\)
1989.1990+3978 / 1992.1991-3984
= 1989.1990+1989x2 / 1992.1991-1992x2
= 1989.(1990=2) / 1992.(1991-2)
= 1989.1992 / 1992.1989 = 1
\(\text{Rút gọn phân số : }\)
\(\frac{1998\cdot1990+3978}{1992\cdot1991-3978}=\frac{1998\cdot1990+3978}{1992+1992\cdot1990-3978}=\frac{6\cdot1990+3978}{1992-3978}=\frac{6\cdot1990+3978}{1990+2-3978}=\frac{5\cdot3978}{2-3978}\)\(=\frac{14890}{-3976}\)
\(=-3,74496982\)
\(\text{Chúc bạn học tốt ! }\)
\(\frac{1989\times1990+3978}{1992\times1991-3984}=\frac{1989\times1990+1989\times2}{1992\times1991-1992\times2}=\frac{1989\times\left(1990+2\right)}{1992\times\left(1991-2\right)}=\frac{1989\times1992}{1992\times1989}=1\)
Rút gọn phân số:\(\frac{1989.1990+3978}{1992.1991-3984}\)
\(=\frac{1989.1990+1989.2}{1992.1991-1992.2}=\frac{1989.\left(1990+2\right)}{1992.\left(1991-2\right)}=\frac{1989.1992}{1992.1989}=1\)
học giỏi nha
\(\frac{1989\cdot1990+3978}{1992\cdot1991-3984}\)
\(=\frac{1989\cdot1990+1989\cdot2}{1992\cdot1991-1992\cdot2}\)
\(=\frac{1989\cdot\left(1990+2\right)}{1992\cdot\left(1991-2\right)}\)
\(=\frac{1989\cdot1992}{1992\cdot1989}=1\)