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\(a,=\left(73-27\right)\left(73^2+73\cdot27+27^2\right)=46\cdot8029=369334\\ b,=\left(63-27\right)\left(63+27\right)+\left(72-18\right)\left(72+18\right)\\ =100\cdot36+54\cdot100=100\left(36+54\right)=100\cdot90=9000\\ c,=\left(105-5\right)^3=100^3=1000000\)
Bài 3:
a: \(=\left(2x-5\right)\left(4x^2+10x+25\right)\)
a) \(8x^3-\dfrac{1}{27}=\left(2x-\dfrac{1}{3}\right)\left(4x^2+\dfrac{2}{3}x+\dfrac{1}{9}\right)\)
b) \(\dfrac{1}{8}a^3-125b^6=\left(\dfrac{1}{2}a-5b^2\right)\left(\dfrac{1}{4}a+\dfrac{5}{2}ab^2+25b^4\right)\)
c) \(125+\left(a-b\right)^3=\left(5+a-b\right)\left(25-5a+5b+a^2-2ab+b^2\right)\)
\(A=2004^2-16=\left(2004-4\right)\left(2004+4\right)=2000\cdot2008=4016000\)
\(B=892^2+892\cdot216+108^2=892^2+2\cdot892\cdot108+108^2=\left(892+108\right)^2=1000^2=1000000\)
\(C=10,2\cdot9,8-9,8\cdot0,2+10,2^2-10,2\cdot0,2\)
\(=9,8\left(10,2-0,2\right)+10,2\left(10,2-0,2\right)\)
\(=10\cdot\left(9,8+10,2\right)=10\cdot20=200\)
\(D=36^2+26^2-52\cdot36=\left(36-26\right)^2=10^2=100\)
\(E=105^2-25=\left(105-5\right)\left(105+5\right)=100\cdot110=11000\)
\(F=73^2-27^2=\left(73-27\right)\left(73+27\right)=46\cdot100=4600\)
A. 20042-16=20042-42=(2004-4)(2004+4)=2000.2008=2016000
B. 8922+892.216+1082= 8922+2.892.108+1082=(892+108)2=10002=1000000
C.Khó nhìn quá
D.362+262-52.36=362-2.36.26+262=(36-16)2=202=400
E.1052-25=(105-5)(105+5)=100.110=11000
F. 732-272=(73-27)(73+27)=46.100=4600
a) 1272 + 146.127 + 732
= 1272 + 2.73.127 + 732
= (127 + 73)2 = 2002 = 40000
b) 98 . 28 - (184 - 1)(184 + 1)
= (9.2)8 - 188 + 1
= 188 - 188 + 1 = 1
c) \(\frac{780^2-220^2}{125^2+150.125+75^2}=\frac{\left(780-220\right)\left(780+220\right)}{125^2+2.75.125+75^2}=\frac{560.1000}{\left(125+75\right)^2}=\frac{560000}{200^2}\)
\(=\frac{560000}{40000}=14\)
a) 1272 + 146.127 + 732
= 1272 + 2.73.127 + 732
= ( 127 + 73 )2
= 2002 = 40 000
b) 98.28 - ( 184 - 1 )( 184 + 1 )
= ( 9.2 )8 - [ ( 184 )2 - 12 ]
= 188 - 188 + 1
= 1
c) \(\frac{780^2-220^2}{125^2+150\cdot125+75^2}\)
\(=\frac{\left(780-220\right)\left(780+220\right)}{125^2+2\cdot75\cdot125+75^2}\)
\(=\frac{560\cdot1000}{\left(125+75\right)^2}\)
\(=\frac{560000}{200^2}\)
\(=\frac{560000}{40000}=14\)
22.23=(20+2).23=460+46=506
44.101=44(100+1)=4400+44=4444
25.105=25(100+5)=250+125=375
a) \(105^3-15.105^2+75.105-125\)
\(=105^3-3.105^2.5+3.105.5^2-5^3\)
\(=\left(105-5\right)^3\)
\(=100^3=1000000\)
b) \(63^2-27^2+72^2-18^2\)
\(=\left(63-27\right)\left(63+27\right)+\left(72-18\right)\left(72+18\right)\)
\(=36.90+54.90\)
\(=90.90=8100\)
A= 1000000
B=8100