234567x9:3+16-35=?
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1.
\(35\times\left(14-23\right)-23\times\left(14-35\right)\)
\(=35\times14-35\times23-23\times14+23\times35\)
\(=\left(23\times35-35\times23\right)+14\times\left(35-23\right)\)
\(=0+14\times12\)
\(=168\)
2.
\(27\times\left(13-16\right)-16\times\left(13-27\right)\)
\(=27\times13-27\times16-16\times13+16\times27\)
\(=13\times\left(27-16\right)+\left(27\times16-16\times27\right)\)
\(=13\times11+0\)
\(=143\)
3.
\(44\times\left(-36\right)+22\times\left(-28\right)\)
\(=22\times2\times\left(-36\right)+22\times\left(-28\right)\)
\(=22\times\left(-72\right)+22\times\left(-28\right)\)
\(=22\times\left[\left(-72\right)+\left(-28\right)\right]\)
\(=22\times\left(-100\right)\)
\(=-2200\)
Chúc bạn học tốt
a) \(S=1^5+3^5+....+75^5+99^5\)
\(\left(2a+1\right)^5-\left(2a+1\right)=2a\left(2a+1\right)\left(2a+2\right)\left[\left(2a+1\right)^2+1\right]\)
\(\left(2a+1\right)^5-\left(2a+1\right)=4a\left(2a+1\right)\left(a+1\right)\left[\left(2a+1\right)^2+1\right]⋮4\)
\(S=\left(1^5-1\right)+\left(3^5-3\right)+....+\left(75^5-75\right)+\left(99^5-99\right)+\left(1+3+5+...+75+99\right)\)
\(\Leftrightarrow\begin{matrix}1^5-1⋮4\\3^5-3⋮4\\5^5-5⋮4\\...........\\75^5-5⋮4\\99^5-99⋮4\end{matrix}\)
\(S_1=1+3+5+7+...+75+99=\frac{\left(1+75\right)\left[\frac{75-1}{2}+1\right]}{2}+99=38.38+96+3\)
\(\Rightarrow S_1:4\) dư 3
\(\Leftrightarrow S\) chia 4 dư 3
a,25/100 +19/22+19/35+3/4+3/22+16/35
=(19/22+3/22)+(19/35+16/35)+(25/100+3/4)
= 22/22 + 35/35 + ( 1/4 + 3/4)
= 22/22 + 35/35 + 4/4
= 1 + 1 + 1
= 3
b, 2/5 : 4/7 - 2/5 : 2/3
=(2/5 - 2/5) : (4/7 : 2/3)
= 0 : 6/7
=0
\(=35-\left[5\cdot\left(7+3\right)\right]-20=35-\left(5\cdot10\right)-20=35-50-20=-35\)
35- { 5.[( 16 + 12 ):4 +3 ]- 2. 10 }
= 35- { 5.[28:4 +3 ]- 2. 10 }
=35- { 5.[7 +3 ]- 2. 10 }
=35- { 5. 10- 2. 10 }
=35- { 50 - 20 }
=35- 30
= 5
a) 1 5 + 2 5 = 1 + 2 5 = 3 5
b) 3 × 1 2 = 3 × 1 2 = 3 2
c) 1 - 2 3 + 1 6 = 1 - 12 18 + 3 18 = 1 - 15 18 = 3 18 = 1 6
d) 1 1 5 ÷ 1 1 2 = 6 5 ÷ 3 2 = 12 15 = 4 5
e) 3 5 + 2 5 × 1 6 = 3 5 + 2 30 = 20 30 = 2 3
a) 1 5 + 2 5 = 1 + 2 5 = 3 5
b) 3 × 1 2 = 3 × 1 2 = 3 2
c) 1 - 2 3 + 1 6 = 1 - 12 18 + 3 18 = 1 - 15 18 = 3 18 = 1 6
d) 1 1 5 ÷ 1 1 2 = 6 5 ÷ 3 2 = 12 15
e) 3 5 + 2 5 × 1 6 = 3 5 + 2 30 = 20 30 = 2 3
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=703702