35.[16-4]-16.[35-4]
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a) 19/35+15/19+16/35+23/19+4/15+11/15 = (19/35+16/35)+(15/19+23/19)+(4/15+11/15) = 1+2+1 = 4 b)4/17-7/15+13/17-8/15+5/8-7/16 = (4/17+13/17)-(7/15-8/15)+(5/8-7/16) = 1-1+3/16 =3/16
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a) ( 35 - x ) . 4 = 16
=> 35 - x = 16 : 4
=> 35 - x = 4
=> x = 35 - 4
=> x = 31
b) 35 - x.4 = 3
=> x.4 = 35 - 3
=> x.4 = 32
=> x = 32 : 4
=> x = 8
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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
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\(4^3\times27-4^3\times23\)
\(=4^3\times\left(27-23\right)\)
\(=64\times4\)
\(=256\)
\(3^4\times71+3^4\times2^9\)
\(=3^4\times\left(71+2^9\right)\)
\(=81\times\left(71+512\right)\)
\(=81\times583\)
\(=47223\)
\(\left(3^3\times5^2-2^4-16\right)\times13\)
\(=\left(27\times25-16-16\right)\times13\)
\(=\left(675-16-16\right)\times13\)
\(=\left(659-16\right)\times13\)
\(=643\times13\)
\(=8359\)
\(35\times273+33\times35\)
\(=35\times\left(273+33\right)\)
\(=35\times306\)
\(=10710\)
\(2^3\times4^2+2^3\times84-40\)
\(=8\times16+8\times84-40\)
\(=8\times\left(16+84\right)-40\)
\(=8\times100-40\)
\(=800-40\)
\(=760\)
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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
![](https://rs.olm.vn/images/avt/0.png?1311)
\(=35-\left[5\cdot\left(7+3\right)\right]-20=35-\left(5\cdot10\right)-20=35-50-20=-35\)
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
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a) 35 x 21 + 35 x 80 - 35
= 35 x 21 + 35 x 80 - 35 x 1
= 35 x ( 21 + 80 - 1 )
= 35 x 100
= 3500
b)
Số số hạng là :
( 19 - 1 ) : 3 + 1 = 7 ( số )
Tổng của dãy số trên là :
( 19 + 1 ) x 7 : 2 = 70
Đ/s : 70
Có gì sai thông cảm giùm mik nhé !
35 x 21 + 35 x 80 - 35 = 35 x ( 21 + 80 - 1 ) = 35 x 100 = 3500
1 + 4 + 7 + ... + 16 + 19
Số số hạng là : ( 19 - 1 ) : 3 + 1 = 7
Tổng của dãy số trên là : ( 1 + 19 ) x 7 : 2 = 70
35.(16-4)-16.(35-4)
=35.16-4.35-16.35-4.16
=(35.16-16.35)-4.35-4.16
=0-4.35-4.16
=0-4.(35-16)
=0-4.19
=0-76
=-76