tính nhanh :
A = 125(125+150) + 75^2
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\(B=\frac{780^2-220^2}{125^2+150.125+75^2}\)\(=\frac{\left(780+220\right).\left(780-220\right)}{\left(125+75\right)^2}\)\(=\frac{1000.560}{200^2}\)\(=\frac{560000}{40000}=14\)
a) 150 - 34 + 44 - 66 - 50
= (150 - 50) + (44 - 34) - 66
= 100 + 10 - 66
= 110 - 66
= 44
b) 152 - 36 + 25 - 75
= (152 - 36) + (75 - 25)
= 116 + 50
= 166
( 125 . 73 - 125 . 75 ) : ( - 25 - 2 )
= 125 . ( 73 - 75 ) : ( - 27 )
= 125 . ( - 2 ) : ( - 27 )
= ( - 250 ) : ( - 27 )
= 9,2592
a)1252+150.125+752
=1252+2.125.75+752
=(125+75)2
b)93.107
=(100-7).(100+7)
=1002-72
=10000-49
=9951
1.
a) \(125+80+375+220\)
\(=\left(125+375\right)+\left(80+220\right)\)
\(=500+300\)
\(=800\)
b) \(25.11.8.4.125\)
\(=\left(25.4\right).\left(8.125\right).11\)
\(=100.1000.11\)
\(=1100000\)
c) \(18.74+18.27-18\)
\(=18.\left(74+27-1\right)\)
\(=18.100\)
\(=1800\)
d) \(75.23+75.77-500\)
\(=75.\left(23+77\right)-500\)
\(=75.100-500\)
\(=7500-500\)
\(=7000\)
e) \(150:\left[25.\left(18-4^2\right)\right]\)
\(=150:\left[25.\left(18-16\right)\right]\)
\(=150:\left[25.2\right]\)
\(=150:50\)
\(=3\)
f) \(125.23.2.8.50\)
\(=\left(125.8\right).\left(2.50\right).23\)
\(=1000.100.23\)
\(=2300000\)
g) \(235+88+165+12\)
\(=\left(235+165\right)+\left(88+12\right)\)
\(=400+100\)
\(=500\)
h) \(71.32+71.68-1100\)
\(=71.\left(32+68\right)-1100\)
\(=71.100-1100\)
\(=7100-1100\)
\(=6000\)
i) \(6^7:6^6+4^3.2-24^0\)
\(=6+64.2-1\)
\(=6+128-1\)
\(=133\)
j) \(546-6.\left[158:\left(30+7^2\right)\right]\)
\(=546-6.\left[158:\left(30+49\right)\right]\)
\(=546-6.\left[158:79\right]\)
\(=546-6.2\)
\(=546-12\)
\(=534\)
k) \(268+147+132+253\)
\(=\left(268+132\right)+\left(147+253\right)\)
\(=400+400\)
\(=800\)
2.
a) \(7x=707\)
\(x=707:7\)
\(x=101\)
b) \(6x+5=47\)
\(6x=47-5\)
\(6x=42\)
\(x=42:6\)
\(x=7\)
c) \(35:\left(x+1\right)=7\)
\(x+1=35:7\)
\(x+1=5\)
\(x=5-1\)
\(x=4\)
d) \(12+\left(29-3x\right)=35\)
\(29-3x=35-12\)
\(29-3x=23\)
\(3x=29-23\)
\(3x=6\)
\(x=6:3\)
\(x=2\)
e) \(2.4^x+10^1=138\)
\(2.4^x=138-10\)
\(2.4^x=128\)
\(4^x=128:2\)
\(4^x=64=4^3\)
\(\Rightarrow x=3\)
f) \(7x=140\)
\(x=140:7\)
\(x=20\)
g) \(7\left(15-x\right)+14=84\)
\(7\left(15-x\right)=84-14\)
\(7\left(15-x\right)=70\)
\(15-x=70:7\)
\(15-x=10\)
\(x=15-10\)
\(x=5\)
h) \(3^x.5-15=390\)
\(3^x.5=390+15\)
\(3^x.5=405\)
\(3^x=405:5\)
\(3^x=81=3^4\)
\(\Rightarrow x=4\)
B).2003-4006+6009
=(2003+4006)-6009+6009
= 6009-6009+6009
=6009
a) \(A=125\left(-24\right)+24.225\)
\(=24\left[\left(-125\right)+225\right]\)
\(=24.100=2400\)
b) \(B=26\left(-125\right)-125\left(-36\right)\)
\(=125\left[\left(-26\right)-\left(-36\right)\right]\)
\(=125.10=1250\)
c) \(C=25\left(75-45\right)-75\left(45-25\right)\)
\(=25.75-25.45-75.45-75.25\)
\(=\left(25.75-75.25\right)-25.45-75.45\)
\(=-25.45-75.45\)
\(=45\left(-25-75\right)\)
\(=45\left(-100\right)=-4500\)
A = 125(125 + 150) + 752
A = 34375 + 752
A = 34375 + 5652
A = 40000
\(A=125\left(125+150\right)+75^2\)
\(=125^2+125.150+75^2\)
\(=\left(125+75\right)^2\)
\(=200^2=40000\)