Tính nhanh:
94 x 473 - 94 x 73
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- ( 73 ) + ( 44 - 94 + 27 ) + 94
= -73 + 44 - 94 + 27 + 94
=( -73 + 44 + 27 ) + ( -94 + 94 )
= -2 + 0 = -2
- 73 + ( 44 - 94 + 27 ) + 94
= - 73 + 44 - 94 + 27 + 94
= ( 94 - 94 ) + ( - 73 + 27 ) + 44
= 0 + ( - 46 ) + 44
= - 2
12 x 85 + 35 x 182 - 35 x 94
= 12 x (35 + 50) + 35 x 182 - 35 x 94
= 12 x 35 + 12 x 50 + 35 x 182 - 35 x 94
= (12 x 35 + 35 x 182 - 35 x 94) + 12 x 50
= 35 x ( 12 + 182 - 94) + 600
= 35 x 100 + 6x 100
= 100x (35 + 6)
= 100 x 41
= 4100
=1003x27 + 27x3x477 + 27x6x94 -(11+70)
=1003x27+27x1431 + 27x564 - 81
=27 x (1003+1431+564) - 81
=27 x 2998 -81
=80946 - 81
=80865
24.25+102.94-94-94
=4.25.6+94.(102-1-1)
=100.6+94.100
=100.(6+94)
=100.100
=10000
HT
Đáp án: (x,y)∈{(18,2),(−18,3),(2,−2),(−2,7)}(x,y)∈{(18,2),(−18,3),(2,−2),(−2,7)}
Giải thích các bước giải:
ĐKXĐ: x≠0x≠0
Ta có:
3x+y3=563x+y3=56
→93x+xy3x=56→93x+xy3x=56
→9+xy3x=56→9+xy3x=56
→2(9+xy)=5x→2(9+xy)=5x
→18+2xy=5x→18+2xy=5x
→5x−2xy=18→5x−2xy=18
→x(5−2y)=18→x(5−2y)=18
Vì x,y∈Zx,y∈Z
→(x,5−2y)→(x,5−2y) là cặp ước của 1818
Mà 5−2y5−2y luôn lẻ với mọi số nguyên ZZ
→(x,5−2y)∈{(18,1),(−18,−1),(2,9),(−2,−9)}→(x,5−2y)∈{(18,1),(−18,−1),(2,9),(−2,−9)}
→(x,2y)∈{(18,4),(−18,6),(2,−4),(−2,14)}→(x,2y)∈{(18,4),(−18,6),(2,−4),(−2,14)}
→(x,y)∈{(18,2),(−18,3),(2,−2),(−2,7)}
\(215\times94+215\times5+215\)
\(=215\times\left(94+5+1\right)\)
\(=215\times100\)
\(=21500\)
215 × 94 + 215 × 5 + 215
= 215 × ( 94 + 5 + 1 )
= 215 × 100
= 21500
1: =66+34-73-27+99=99
2: =54-45+30-54-30+5=-40
3: =42-56+33-33+56-42=0
4: =50-47-50+18+47-18=0
5: =10-28+30-4=2-4+10=12-4=8
\(\text{1.-(-66)+34+(-73)-27+99}.\)
\(=66+34-73-27+99=100-100+99=-99.\)
\(\text{2.54-(45-30+54)-30+5}.\)
\(54-45+30-54-30+5=\left(54-54\right)+\left(-45+5\right)+\left(30-30\right)=-40.\)
\(\text{3.42-56+33-(33-56+42)}.\)
\(=42-56+33-33+56-42=\left(42-42\right)+\left(-56+56\right)+\left(33-33\right)=0.\)
\(\text{4.50-(47+50-18)+(47-18)}.\)
\(=50-47-50+18+47-18=\left(50-50\right)+\left(-47+47\right)+\left(18-18\right)=0.\)
\(\text{5.10-(28-30+4)}.\)
\(=10-28+30-4=10+30-20-8-4=20-12=8.\)
\(\text{6.-(-73)+(44-94+27)+94}.\)
\(=73+44-94+27+94=\left(73+27\right)+\left(-94+94\right)+44=100+44=144.\)
94 x 473 - 94 x 73
= 94 x (473 - 73)
= 94 x 400
= 37600
94(473-73)
94 x 400 =37600