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\(A=81.\left[\frac{12-\frac{12}{7}-\frac{12}{289}-\frac{12}{85}}{4-\frac{4}{7}-\frac{4}{289}-\frac{4}{85}}:\frac{5+\frac{5}{13}+\frac{5}{169}+\frac{5}{91}}{6+\frac{6}{13}+\frac{6}{169}+\frac{6}{91}}\right].\frac{158158158}{711711711}\)
\(A=81.\left[\frac{12.\left(1-\frac{1}{7}-\frac{1}{289}-\frac{1}{85}\right)}{4.\left(1-\frac{1}{7}-\frac{1}{289}-\frac{1}{85}\right)}:\frac{5.\left(1+\frac{1}{13}+\frac{1}{169}+\frac{1}{91}\right)}{6.\left(1+\frac{1}{13}+\frac{1}{169}+\frac{1}{91}\right)}\right].\frac{158}{711}\)
\(A=81.\left(\frac{12}{4}:\frac{5}{6}\right).\frac{2}{9}\)
\(A=81.3.\frac{6}{5}.\frac{2}{9}\)
\(A=\frac{324}{5}\)
Nhớ là: THANKS YOU VERY "MUCH" chứ không phải là THANKS YOU VERY "MATH"!!!
\(A=81.\frac{158158158}{711711711}.\frac{12.\left(\frac{1}{7}-\frac{1}{289}-\frac{1}{85}\right)}{4.\left(\frac{1}{7}-\frac{1}{289}-\frac{1}{85}\right)}:\frac{5.\left(\frac{1}{13}+\frac{1}{169}+\frac{1}{91}\right)}{6.\left(\frac{1}{13}+\frac{1}{169}+\frac{1}{91}\right)}\)
\(=81.\frac{158}{711}.\frac{12}{4}:\frac{5}{6}=\frac{1422}{79}.3.\frac{6}{5}=\frac{1422.3.6}{79.5}=\frac{25596}{395}\)
Ta có: \(D=\dfrac{\left(n+1\right)!}{\left(n-1\right)!}-n\)
\(=\dfrac{1\cdot2\cdot...\cdot\left(n-1\right)\cdot n\cdot\left(n+1\right)}{1\cdot2\cdot...\cdot\left(n-1\right)}-n\)
\(=n\left(n+1\right)-n\)
\(=n^2\)
\(\frac{3}{5}.\frac{13}{46}-\frac{1}{10}.\frac{16}{23}\)
= \(\frac{39}{230}-\frac{8}{115}\)
= \(\frac{1}{10}\)
a)\(5!=5.5.5.5.5=3125\)
b)\(4!-3!=4.4.4.4-3.3.3=256-27=229\)
c)\(6!-5!=6.6.6.6.6.6-5.5.5.5.5=46656-3125=43531\)
\(5!=1.2.3.4.5=10.12=120\)
\(4!-3!=1.2.3.4-1.2.3=1.2.3.\left(4-1\right)=6.3=18\)
\(6!-5!=1.2.3.4.5.6-1.2.3.4.5=120.6-120=120.\left(6-1\right)=120.5=600\)
\(A=\frac{\frac{2}{3}+\frac{2}{5}-\frac{2}{9}}{\frac{4}{3}+\frac{4}{5}-\frac{4}{9}}\)
\(A=\frac{2.\frac{1}{3}+2.\frac{1}{5}-2.\frac{1}{9}}{4.\frac{1}{3}+4.\frac{1}{5}-4.\frac{1}{9}}\)
\(A=\frac{2.\left(\frac{1}{3}+\frac{1}{5}-\frac{1}{9}\right)}{4.\left(\frac{1}{3}+\frac{1}{5}-\frac{1}{9}\right)}\)
\(A=\frac{2}{4}\)
\(A=\frac{1}{2}\)
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\(\frac{5!-4!}{3!}=\frac{4!\left(5-1\right)}{3!}=4.4=16\)