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\(9876543.9876545-9876544^2\)
\(=\left(9876544-1\right)\left(9876544+1\right)-9876544^2\)
\(=\left(9876544^2-1\right)-9876544^2\)
\(=9876544^2-1-9876544^2\)
\(=-1\)
9876543 x 9876545 - 98765442
= 9876543 x ( 9876544 + 1 ) - 9876544 x 9876544
= 9876543 x 9876544 + 9876543 - 9876544 x ( 9876543 + 1 )
= 9876543 x 9876544 + 9876543 - 9876544 x 9876543 - 9876544
= - 1
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\(A=1234566\cdot1234568+1234568-1234566\cdot1234568-1234566\)
\(=1234568-1234566\)
\(=2\)
\(B=9876542\cdot9876544+9876544-9876542\cdot9876544-9876542\)
\(=9876544-9876542\)
\(=2\)
Vậy \(A=B\)
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\(9876543.9876545-9876544^2\)
\(=9876543.9876545-9876544.9876544\)
\(=9876543.\left(9876544+1\right)-9876544.9876544\)
\(=9876543.9876544+9876544.9876544+9876544.1\)
\(=9876544.\left(9876543+1\right)+9876544.9876544\)
\(=\left(9876544+9876544\right)^2\)
\(=19753088^2\)
9 876 543 . 9 876 545 - ( 9 876 544 )2
= ( 9 876 544 - 1 )( 9 876 544 + 1 ) - ( 9 876 544 )2.1
= [ ( 9 876 544 )2 - 12 ] - ( 9 876 544 )2
= ( 9 876 544 )2 - 1 - ( 9 876 544 )2
= -1
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\(56^2+44^2+2.44.56\)
\(=\left(56+44\right)^2\)
\(=100^2=10000\)
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\(45^2+40^2-15^2+80.45\)
\(=40^2+2.40.45+45^2-15^2\)
\(=\left(40+45\right)^2-15^2\)
\(=\left(40+45-15\right)\left(40+45+15\right)\)
\(=70.100=7000\)
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`#3107.101107`
`38^2 + 76*12 + 12^2`
`= (38)^2 + 2*38*12 + (12)^2`
`= (38 + 12)^2`
`= 50^2`
`= 2500`
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Sử dụng hđt:
`(A + B)^2 = A^2 + 2AB + B^2.`
\(38^2+76\cdot12+12^2\)
\(=38^2+2\cdot38\cdot12+12^2\)
\(=\left(38+12\right)^2=50^2=2500\)