=> a - b = -1 / b - c = -1 / a - c = -2 => 4(a - b)( b - c ) = 4(-1)(-1) = 4 / ( a - c )2 = (-2)2 = 4 => 4 = 4 ( đúng )
=> 4(a-b)(b-c) = (a-c)2
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\(Cho:\frac{a}{5}=\frac{b}{6}=\frac{c}{7}\)
\(CMR:4\left(a-b\right)\left(b-c\right)=\left(c-a\right)^2\)
cho \(\frac{a}{b}=\frac{b}{x+1}=\frac{c}{x+2}\)
CMR \(4\left(a-b\right)\left(b-c\right)=\left(a-c\right)^2\)
giúp mik vs mik rất cần gấp
Câu 1: Tính
a) A=\(\left(\frac{1}{2^2}-1\right).\left(\frac{1}{3^2}-1\right).....\left(\frac{1}{98^2}-1\right).\left(\frac{1}{99^2}-1\right)\)
b) B=\(\frac{1}{2}:\left(-1\frac{1}{2}\right):1\frac{1}{3}:\left(-1\frac{1}{4}\right):1\frac{1}{5}:\left(-1\frac{1}{6}\right):...:\left(-1\frac{1}{100}\right)\)
c) C=\(\frac{4^6.9^5+6^9.120}{-8^4.3^{12}+6^4}\)
3.Tính hợp lí:a,frac{17}{5}.frac{-31}{125}.frac{1}{2}.frac{10}{17}.frac{-1}{2^3}b,left(frac{11}{4}.frac{5}{9}-frac{4}{9}.frac{11}{4}right).frac{8}{33}c,left(frac{17}{28}+frac{18}{29}-frac{19}{30}-frac{20}{31}right).left(frac{-5}{12}+frac{1}{4}+frac{1}{6}right)4.Tìm tích:a,left(frac{1}{2}+1right)left(frac{1}{3}+1right).....left(frac{1}{99}+1right)b,left(frac{1}{2}-1right)left(frac{1}{3}-1right).....left(frac{1}{100}-1right)c,frac{3}{2^2}.frac{8}{3^2}.frac{15}{4^2}....frac{899}{30^2}AI CÒN THỨC TH...
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3.Tính hợp lí:
a,\(\frac{17}{5}.\frac{-31}{125}.\frac{1}{2}.\frac{10}{17}.\frac{-1}{2^3}\)
b,\(\left(\frac{11}{4}.\frac{5}{9}-\frac{4}{9}.\frac{11}{4}\right).\frac{8}{33}\)
c,\(\left(\frac{17}{28}+\frac{18}{29}-\frac{19}{30}-\frac{20}{31}\right).\left(\frac{-5}{12}+\frac{1}{4}+\frac{1}{6}\right)\)
4.Tìm tích:
a,\(\left(\frac{1}{2}+1\right)\left(\frac{1}{3}+1\right).....\left(\frac{1}{99}+1\right)\)
b,\(\left(\frac{1}{2}-1\right)\left(\frac{1}{3}-1\right).....\left(\frac{1}{100}-1\right)\)
c,\(\frac{3}{2^2}.\frac{8}{3^2}.\frac{15}{4^2}....\frac{899}{30^2}\)
AI CÒN THỨC THÌ GIÚP MIK VS,MIK ĐANG CẦN GẤP
Cho a,b,c là các số nguyên tố khác nhau đôi một
CMR : \(\frac{1}{\left[a,b\right]}+\frac{1}{\left[b,c\right]}+\frac{1}{\left[c,a\right]}\le\frac{1}{3}\)
CMR: A=B
A=\(\frac{\left(3\frac{2}{15}+\frac{1}{5}\right):2\frac{1}{2}}{\left(5\frac{3}{7}-2\frac{1}{4}\right):4\frac{43}{56}}\)
B=\(\frac{1,2:\left(1\frac{1}{5}.1\frac{1}{4}\right)}{0,32+\frac{2}{25}}\)
Tính:Aleft(1-frac{2}{3}+frac{4}{3}right)-left(frac{4}{5}-1right)+left(frac{7}{5}+2right)Bleft(-3+frac{3}{4}-frac{1}{3}right):left(5+frac{2}{5}-frac{2}{3}right)Cleft(frac{3}{5}-frac{4}{15}right).left(frac{2}{7}-frac{3}{14}right)-left(frac{5}{9}-frac{7}{27}right).left(1-frac{3}{5}right)+left(1-frac{11}{12}right).left(1+frac{11}{12}right)Dfrac{left(frac{3}{10}-frac{4}{15}-frac{7}{20}right).frac{-5}{19}}{left(frac{1}{14}+frac{1}{7}-frac{-3}{35}right).frac{4}{3}}
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Tính:
A=\(\left(1-\frac{2}{3}+\frac{4}{3}\right)-\left(\frac{4}{5}-1\right)+\left(\frac{7}{5}+2\right)\)
B=\(\left(-3+\frac{3}{4}-\frac{1}{3}\right):\left(5+\frac{2}{5}-\frac{2}{3}\right)\)
C=\(\left(\frac{3}{5}-\frac{4}{15}\right).\left(\frac{2}{7}-\frac{3}{14}\right)-\left(\frac{5}{9}-\frac{7}{27}\right)\)\(.\left(1-\frac{3}{5}\right)+\left(1-\frac{11}{12}\right).\left(1+\frac{11}{12}\right)\)
D=\(\frac{\left(\frac{3}{10}-\frac{4}{15}-\frac{7}{20}\right).\frac{-5}{19}}{\left(\frac{1}{14}+\frac{1}{7}-\frac{-3}{35}\right).\frac{4}{3}}\)
Tìm a, b,c biết:
\(\left(a-\frac{1}{5}\right)\left(b-\frac{1}{3}\right)\left(c+\frac{1}{4}\right)=0\)và a+b=a-1=c+1
1 tínha, left(frac{1}{2}right)^4b, left(frac{1}{2}right)^3c, left(frac{-3}{5}right)^2d, left(frac{-1}{5}right)^2e, left(frac{-1}{6}right)^32 tínha, left(frac{3}{2}right)^2.left(frac{4}{3}right)^2b,left(frac{-1}{2}right)^3.left(frac{2}{3}right)^3c, left(frac{-1}{2}right)^2.left(frac{2}{5}right)^2d, left(frac{-1}{2}right)^3.left(frac{2}{3}right)^3e, ( -5 ) 3 x left(frac{1}{5}right)f, left(frac{2}{9}right)^5.left(frac{-27}{4}right)^5
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1 tính
a, \(\left(\frac{1}{2}\right)^4\)
b, \(\left(\frac{1}{2}\right)^3\)
c, \(\left(\frac{-3}{5}\right)^2\)
d, \(\left(\frac{-1}{5}\right)^2\)
e, \(\left(\frac{-1}{6}\right)^3\)
2 tính
a, \(\left(\frac{3}{2}\right)^2.\left(\frac{4}{3}\right)^2\)
b,\(\left(\frac{-1}{2}\right)^3.\left(\frac{2}{3}\right)^3\)
c, \(\left(\frac{-1}{2}\right)^2.\left(\frac{2}{5}\right)^2\)
d, \(\left(\frac{-1}{2}\right)^3.\left(\frac{2}{3}\right)^3\)
e, ( -5 ) 3 x \(\left(\frac{1}{5}\right)\)
f, \(\left(\frac{2}{9}\right)^5.\left(\frac{-27}{4}\right)^5\)