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a) x+45-[90+(-20)+5-(-45)]
=x+45-120
=x+-75
b) x+(294+13)+(94-13)
=x+307+81
=x+388
a) x+45-[90+(-20)+5-(-45)]
=x+45-[(90-20)+(5+45)]
=x+45-[70+50]
=x+45-120
=x+(45-120)
=x-75
b) x+(294+13)+(94-13)
=x+307+81
=x+(307+81)
=x+388
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=60a+30b\)
\(=>A=30.2a+30b\)
\(=>30.\left(2a+b\right)\)
Mà \(2a+b=-5\)
\(=>A=30.\left(-5\right)=-150\)
\(B=15x-45y\)
\(=>B=15x-15.3y\)
\(=>B=15.\left(x-3y\right)\)
Mà \(x-3y=-60\)
\(=>B=15.\left(-60\right)=-900\)
\(C=48a-6b-12a-6b\)
\(=>C=\left(48a-12a\right)-\left(6b+6b\right)\)
\(=>C=36a-12b\)
\(=>C=12.3a-12b\)
\(=>C=12.\left(3a-b\right)\)
Mà \(3a-b=-50\)
\(=>C=12.\left(-50\right)=-600\)
\(D=60a+b\)
Mà \(|b|=5;a=-10\)
\(=>D=60.\left(-10\right)+5=-600+5\)
\(=>D=-595\)
Chúc bạn Hk tốt!!!!!!
NHớ k nha!!@@@
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\(A=1+5^2+5^3+...+5^{2015}+5^{2016}\)
\(5A=5+5^3+5^4+...+5^{2016}+5^{2017}\)
\(4A=\left(5+5^3+5^4+...+5^{2016}+5^{2017}\right)-\left(1+5^2+5^3+...+5^{2015}+5^{2016}\right)\)
\(=5+5^{2017}-\left(1+5^2\right)\)
\(=4+5^{2017}-5^2\)
\(A=\frac{4+5^{2017}-5^2}{4}\)
Ta có : 5A = 5 + 5^3 + 5^4 + ... + 5^2016 + 5^2017
=> 5A - A = ( 5 + 5^3 + 5^4 + ... + 5^2016 + 5^2017 ) - ( 1 + 5^2 + 5^3 + ... + 5^2015 + 5^2016 )
=> 4A = 4 + 5^2 + 5^2017
=> A = ( 4 + 5^2 + 5^2017 )/4
![](https://rs.olm.vn/images/avt/0.png?1311)
a) x + 45 -[ 90 + (-20) + 5 - (-45)] +3x
= x +45 -( 90 - 20 + 5 + 45) + 3x
= x +45 -120 +3x
= -75 +4x
b) x +(-294 +13 -2x) +(94 -13) +9x
= x -281 -2x +81 +9x
= -200 +8x
![](https://rs.olm.vn/images/avt/0.png?1311)
=> -5 + x - 10 + 4 = -5 + x - 10 + 4
= -5 + x - 10 + 4 + 5 - x + 10 -4
= [( - 5 ) + 5] + [x + (-x)] + [(-10) + 10] + [4 + (-4)]
= 0 + 0 + 0 + 0
HỌC TỐT !
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{3^{10}.\left(-5\right)^{20}.\left(-5\right)}{\left(-5\right)^{20}.3^{10}.3^2}=\frac{-5}{3^2}=-\frac{5}{9}\)
\(a,\)\(-\left(x+5\right)+\left(x+10\right)-5\)
\(=-x+5+x+10-5\)
\(=\left(-x+x\right)+5+10-5\)
\(=10\)
#Giải :
a) - ( x - 5 ) + ( x + 10 ) - 5
= - x + 5 + x + 10 - 5
= [( - x ) + x ] + 5 + 10 - 5
= 0 + 15 - 5 = 10