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a: \(=\left(5^2+3\right):7=4\)
b: \(=7^2-3^2+8\cdot25=40+200=240\)
\(A=\dfrac{1}{1.2}+\dfrac{1}{2.3}+...+\dfrac{1}{49.50}\)
\(A=\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{49}-\dfrac{1}{50}\)
\(A=\dfrac{1}{1}-\dfrac{1}{50}=\dfrac{49}{50}\)
\(A=\dfrac{1}{1.2}+\dfrac{1}{2.3}+...+\dfrac{1}{49.50}=\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{49}-\dfrac{1}{50}\)
\(A=\dfrac{1}{1}-\dfrac{1}{50}=\dfrac{50}{50}-\dfrac{1}{50}=\dfrac{49}{50}\)
Rút gọn tử số và mẫu số, ta được:
1.1+1.1+1.1/3.3+3.3+3.3
=1.3/9.3
Rút gọn 3 trên tử với 3 dưới mẫu
Vậy A=1/9
Tick nhé
A = \(\frac{7.9+2.7.3.9-3.7.4.9}{3.7.3.9+2.3.7.9.9+7.9.4.3.9}\)
= \(\frac{7.9.\left(1+6-12\right)}{3.7.9.\left(3+18+36\right)}=\frac{-5}{3.57}=\frac{-5}{171}\)
✫¸.•°*”˜˜”*°•✫ Ṱђầภ Ḉђết ✫•°*”˜˜”*°•.¸✫ nhân A với 2 rồi phân tích như vậy được
\(A=\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+\frac{1}{7\cdot9}+....+\frac{1}{37\cdot39}\)
\(2A=\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+....+\frac{2}{37\cdot39}\)
\(2A=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-......+\frac{1}{37}-\frac{1}{39}\)
\(2A=\frac{1}{3}-\frac{1}{39}=\frac{12}{39}=\frac{4}{13}\)
\(A=\frac{4}{13}:2=\frac{4}{13}\cdot\frac{1}{2}=\frac{2}{13}\)
Vậy \(A=\frac{2}{13}\)
Bài làm
\(A=\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{37.39}\)
\(A=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{37}-\frac{1}{39}\)
\(A=\frac{1}{3}-\frac{1}{39}\)
\(A=\frac{13}{39}-\frac{1}{39}=\frac{12}{39}\)
Vậy \(A=\frac{12}{39}\)
=>2A=1/3-1/5+1/5-1/7+1/7-1/9+...+1/37-1/39
=>2A=1/3-1/39=4/13
=>A=2/13
\(a,=600+72+18=690\\ b,=25+5-20=10\\ c,=45-28+83=100\\ d,=25+36+1=62\\ e,=151-8+3=146\)
a)600+72+18=690
b)25+5-20=10
c)45-28+83=100
d)25+36+1=62
e)151-8+3=146
A = \(\dfrac{7.9+14.27+21.36}{21.27+42.81+63.108}\)
= \(\dfrac{7.9+7.2.9.3+7.3.9.4}{21.27+21.2.27.3+21.3.27.4}\)
= \(\dfrac{\left(7.9\right)\left(2.3+3.4\right)}{\left(21.27\right)\left(2.3+.3.4\right)}\)
= \(\dfrac{1}{9}\)
@Nguyễn Ngọc Gia Hân
\(A=37\cdot39+62\cdot21-11\cdot39-21\cdot36\)
\(=39\cdot\left(37-11\right)+62\cdot21-21\cdot36\)
\(=39\cdot26+21\cdot26=60\cdot26=1560\)
\(A=37.39+62.21-11.39-21.36\)
\(A=\left[37.39-11.39\right]+\left[62.21-21.36\right]\)
\(A=\left[39.\left(37-11\right)\right]+\left[21.\left(62-36\right)\right]\)
\(A=39.26+21.26\)
\(A=26.\left(39+21\right)\)
\(A=26.60\)
\(A=1560\)