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\(a,30\cdot6+30\cdot71+20\cdot30\)
=\(30\cdot\left(6+71+20\right)\)
=\(30\cdot97=2910\)
\(b,24\cdot\left(31+119\right)+76\cdot\left(29+121\right)\)
=\(24\cdot150+76\cdot150\)
=\(150\cdot\left(24+76\right)\)
=\(150\cdot100\)
=\(15000\)
\(c,87\cdot23+70\cdot87+43\cdot93\)
=\(87\cdot\left(23+87\right)+43\cdot93\)
=\(87\cdot110+3999\)
=\(9570+3999\)
=13569
a) 15 . 6 . 2 + 3 . 71 . 10 + 20 . 30
= ( 15 . 2 ) . 6 + ( 3 . 10 ) . 71 + 20 . 30
= 30 . 6 + 30 . 71 + 20 . 30
= 30 . ( 6 + 71 + 30 )
= 30 . 107
= 3210
b) 24 . 31 + 24 . 119 + 76 . 29 + 76 . 121
= 24 . ( 31 + 119 ) + 76 . ( 29 + 121 )
= 24 . 150 + 76 . 150
= 150 . ( 24 + 76 )
= 150 . 100
= 15 000
c) 87 . 23 + 43 . 93 + 70 . 87
= 87 . 23 + 70 . 87 + 43 . 93
= 87 . ( 23 + 70 ) + 43 . 93
= 87 . 93 + 43 . 93
= 93 . ( 87 + 43 )
= 93 . 130
= 12 090
Lời giải:
$(-123)(87-53)-53(123-87)$
$=-123.87+123.53-53.123+53.87$
$=(-123.87+53.87)+(123.53-53.123)$
$=87(53-123)+0=87(-70)=-6090$
Bài 2:
a. $=62-81-12+59-9=(62-12)+(59-9)-81$
$=50+50-81=100-81=19$
b. $=39+13-26-62-39=(39-39)+13-(26+62)$
$=0+13-88=-(88-13)=-75$
c. $=(32-42)+(36-34)+(40-38)=10+2+2=14$
d. $=92-55+8-45=(92+8)-(55+45)=100-100=0$
Bài 1:
a. $=(387-87)-224=300-224=76$
b. $=-(75+35)+379=-110+379=379-110=269$
c. $=(11+15)-(13+17)=25-30=-5$
d. $=(31-21)-(27-24)=10-3=7$
a) \(645-\left(27+x\right)-342=123\)
\(\Leftrightarrow\)\(-24-x=123\)
\(\Leftrightarrow\)\(x=123+24=147\)
Vậy...
b) \(\left|x\right|+87=123\)
\(\Leftrightarrow\)\(\left|x\right|=123-87=36\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=36\\x=-36\end{cases}}\)
Vậy....
c) \(\left|x-12\right|=42\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x-12=42\\x-12=-42\end{cases}}\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=54\\x=-30\end{cases}}\)
Vậy...
a) 645 - ( 27 + x ) - 342 = 123
645 - ( 27 + x ) = 123 + 342
645 - ( 27 + x ) = 465
27 + x = 645 - 465
27 + x = 180
x = 180 - 27
x = 53
b) ! x ! + 87 = 123
! x ! = 123 - 87
! x ! = 36
-> x = 36 hoặc x = -36
c) ! x - 12 ! = 42
-> x - 12 = 42 hoặc x - 12 = -42
Nếu x - 12 = 42 thì ta có : Nếu x - 12 = -42 thì ta có :
x = 42 + 12 x = -42 + 12
x = 54 x = -30
a) \(3119\cdot121-3119\cdot11\cdot11\)
\(=3119\cdot121-3119\cdot\left(11\cdot11\right)\)
\(=3119\cdot121-3119\cdot121\)
\(=3119\left(121-121\right)\)
\(=0\)
b) \(24\cdot\left(123\cdot87\right)+\left(87\cdot123\right)\cdot76\)
\(=\left(123\cdot87\right)\cdot\left(76+24\right)\)
\(=\left(123\cdot87\right)\cdot100\)
\(=1070100\)