tính nhanh :
A= 127^2+46.127+73^2
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a, \(C=127^2+146.127+73^2\)
\(=127^2+2.127.73+73^2\)
\(=\left(127+73\right)^2\)
\(=200^2=40000\)
a, \(\frac{2006^3+1}{2006^2-2005}\)
\(=\frac{\left(2006+1\right)\left(2006^2-2006+1\right)}{2006^2-2005}=\frac{2007\left(2006^2-2005\right)}{2006^2-2005}=2007\)
\(\frac{2006^3-1}{2006^2+2007}\)
\(=\frac{\left(2006-1\right)\left(2006^2+2006+1\right)}{2006^2+2007}=\frac{2005\left(2006^2+2007\right)}{2006^2+2007}=2005\)
Chúc bạn học tốt.
e) \(1+2+3+...+200\)
\(=\frac{\left(200+1\right).\left[\left(200-1\right)+1\right]}{2}\)
\(=20100\)
\(a)79+243+21\)
\(=\left(79+21\right)+243\)
\(=100+243\)
\(=343\)
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) \(\frac{780^2-220^2}{125^2+150\cdot125+75^2}\)
\(=\frac{\left(780-220\right)\left(780+220\right)}{125^2+2\cdot75\cdot125+75^2}\)
\(=\frac{560\cdot1000}{\left(125+75\right)^2}\)
\(=\frac{560000}{200^2}\)
\(=\frac{560000}{40000}=14\)
a/ \(127^2+146\cdot127+73^2=127^2+2\cdot73\cdot127+73^2=\left(127+73\right)^2=200^2=40000\)
b/ \(100^2-99^2+98^2-97^2+...+2^2-1^2=\left(100^2-99^2\right)+\left(98^2-97^2\right)+...+\left(2^2-1^2\right)\)
\(=100+99+98+97+...+2+1=\frac{\left(100\right)\left(100+1\right)}{2}=5050\)
c/ \(34^2+66^2+68\cdot66=34^2+66^2+2\cdot34\cdot66=\left(34+66\right)^2=100^2=10000\)
Sai đề 100% phải là 127^2 + 146.127 + 73^2
A = 127 ^2 + 146.127 + 73^2
A = 127^2 + 2.73 . 127 + 73^2
A = ( 127 + 73 )^2
A = 200^2
A = 40000