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a) = (3.23)3.3-(2.3)4.25
= 33.(23)3.3-24.34.25
= 34.29-29.34
=0
c) \(C=1.2+2.3+3.4+...+98.99\)
\(\Rightarrow3C=1.2\left(3-0\right)+2.3\left(4-1\right)+3.4\left(5-2\right)+...+98.99\left(100-97\right)\)
\(=1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+....+98.99.100-97.98.99\)
\(=98.99.100\)
\(\Rightarrow C=\frac{98.99.100}{3}=323400\)
d) \(D=\frac{2}{1.3}+\frac{2}{3.5}+...+\frac{2}{99.101}\)
\(=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{99}-\frac{1}{101}\)
\(=1-\frac{1}{101}=\frac{100}{101}\)
a) \(\frac{-8}{18}-\frac{15}{27}=\frac{-4}{9}-\frac{5}{9}=\frac{-4-5}{9}=\frac{-9}{9}=-1\)
b) \(\frac{19}{24}-\left(-\frac{1}{2}+\frac{7}{24}\right)\)
\(=\frac{19}{24}+\frac{1}{2}-\frac{7}{24}=\left(\frac{19}{24}-\frac{7}{24}\right)+\frac{1}{2}=\frac{1}{2}+\frac{1}{2}=1\)
c) \(\frac{3^{11}\cdot11+3^{11}\cdot21}{3^9\cdot2^5}=\frac{3^{11}\left(11+21\right)}{3^9\cdot2^5}\)
\(=\frac{3^{11}\cdot32}{3^9\cdot32}=3^2=9\)
`Answer:`
\(A=\frac{-5x}{21}+\frac{-5y}{21}+\frac{-5z}{21}\)
\(=\frac{-5x-5y-5z}{21}\)
\(=\frac{-5\left(x+y\right)-5z}{21}\)
\(=\frac{-5\left(-z\right)-5z}{21}\)
\(=\frac{5z-5z}{21}\)
\(=\frac{0}{21}\)
\(=0\)
\(A=\frac{-5x}{21}+\frac{-5y}{21}+\frac{-5o}{21}=-\frac{5}{21}\left(x+y+o\right)\)
\(=-\frac{5}{21}\left(-o+o\right)=0\)
a) 2 370 - 179 + 21 = 2 191 + 21 = 2 212
b) 100 : 5 . 4 = 20 . 4 = 8
c) 396 : 18 : 2 = 22 : 2 = 11
a) 2 370 - 179 + 21 = 2 191 + 21 = 2 212
b) 100 : 5 . 4 = 20 . 4 = 80
c) 396 : 18 : 2 = 22 : 2 = 11