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4 x 24 x 52 - (33 x 18 + 33 x 12 )
= 4 x 24 x 25 - ( 27 x 18 + 27 x 12 )
= 100 x 24 - [ 27 x ( 28 + 12 )]
= 2400 - ( 27 x 30 )
= 2400 - 810
= 1590
4.24.52 - ( 33.18 + 33.12)
= 4.24.25 - 33( 18 + 12 )
= 100.24 - 33.30
=2400 - 27.30
= 2400 - 810 = 1590
2^2 .74 . 5^2 + 5^2 . 26 . 4 -1000
= 2 .74 .25 + 25 . 26 .4 -1000
= 7400 + 2600 -1000
=9000
\(B=\frac{5}{2.1}+\frac{4}{1.11}+\frac{3}{11.2}+\frac{1}{2.15}+\frac{13}{15.4}\)
\(=\frac{B}{7}=\frac{5}{2.7}+\frac{4}{7.11}+\frac{3}{11.14}+\frac{1}{14.15}+\frac{13}{15.4}\)
\(=\frac{B}{7}=\frac{1}{2}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{1}{15}-\frac{1}{28}\)
\(=\frac{B}{7}=\frac{1}{2}-\frac{1}{28}\)
\(=\frac{B}{7}=\frac{13}{28}\)
\(=B=\frac{13}{28}.7\)
\(=B=\frac{13}{4}\)
A= (-4/5+4/3)+(-5/4+14/5)-7/3
= 8/15+31/20-7/3
= 25/12-7/3
= -1/4
B= 8/3.2/5.3/8.10.19/92
= 16/15.3/8.10.19/92
= 2/5.10.19/92
= 4.19/92
= 19/23
C= \(\frac{-5}{7}\).\(\frac{2}{11}\)+\(\frac{-5}{7}\).\(\frac{9}{14}\)+1\(\frac{5}{7}\)
=\(\frac{-5}{7}\).\(\frac{2}{11}\)+\(\frac{-5}{7}\).\(\frac{9}{14}\)+\(\frac{12}{7}\)
= \(\frac{-10}{77}\)+\(\frac{-5}{7}\).\(\frac{9}{14}\)+\(\frac{12}{7}\)
= \(\frac{-10}{77}\)+\(\frac{-45}{98}\)+\(\frac{12}{7}\)
= \(\frac{-635}{1078}\)+\(\frac{12}{7}\)
= \(\frac{1213}{1078}\)
\(B=7\left(\frac{5}{2.1}+\frac{4}{1.11}+...+\frac{13}{15.4}\right)\)
\(B=7\left(\frac{5}{2.7}+\frac{4}{7.11}+...+\frac{13}{15.28}\right)\)
\(B=7\left(\frac{1}{2}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{1}{15}-\frac{1}{28}\right)\)
\(B=7\left(\frac{1}{2}-\frac{1}{28}\right)\)
\(B=7\times\frac{13}{28}\)
\(B=\frac{13}{4}\)
\(19\frac{5}{8}:\frac{7}{12}-15\frac{1}{4}:\frac{7}{12}\)
\(=\frac{157}{8}:\frac{7}{12}-\frac{61}{4}:\frac{7}{12}\)
\(=\frac{157}{8}:\frac{7}{12}-\frac{122}{8}:\frac{7}{12}\)
\(=\left(\frac{157}{8}-\frac{122}{8}\right):\frac{7}{12}\)
\(=\frac{35}{8}:\frac{7}{12}\)
\(=\frac{35}{8}.\frac{12}{7}\)
\(=\frac{5}{2}.\frac{3}{1}\)
\(=\frac{15}{2}\)
a: \(\Leftrightarrow x^2=\dfrac{-5}{2}\cdot\dfrac{-10}{9}=\dfrac{50}{18}=\dfrac{25}{9}\)
=>x=5/3hoặc x=-5/3
c: \(\Leftrightarrow4\left(x-\dfrac{5}{8}\right)=\dfrac{1}{4}+\dfrac{3}{4}=1\)
=>x-5/8=1/4
hay x=2/8+5/8=7/8
d: \(\Leftrightarrow\left|x-3\right|=\dfrac{2}{5}+\dfrac{3}{5}=1\)
=>x-3=1 hoặc x-3=-1
=>x=4 hoặc x=2
e: =>1-1/2x=-3
=>1/2x=4
hay x=8
a) \(25.8^3-23.8^3=8^3\left(25-23\right)\)
\(=8^3.2\)
\(=2^9.2=2^{10}\)
b) \(5^4-2.5^3=5^3.5-2.5^3\)
\(=5^3\left(5-2\right)\)
\(=5^3.3=375\)
c)\(2.4^3-4^3.7-6.4^3=4^3\left(2-7-6\right)\)
\(=4^3.-11=-704\)
d)\(3^2.10^3-\left[13^2-\left(5^2.4+2^2.15\right)\right].10^3\)
\(=3^2.10^3-\left[13^2-2^2\left(5^2+15\right)\right].10^3\)
\(=3^2.10^3-\left[13^2-2^2.40\right].10^3\)
\(=10^3\left[3^2-9\right]\)
\(=0\)
=52.22.11+22.52.89-9.103
=52.22(11+89)-9.103
=(5.2)2.100-9.103
=102.102_9.103
=103(10-9)
=103=1000
\(55.2^2.5+4.89.5^2-3.10^3\)
\(=55.4.5+4.89.25-9.1000\)
\(=220.5+356.25-9000\)
\(=1100+8900-9000\)
\(=10000-9000\)
\(=1000\)