tính nhanh: 9876543*9876545 - 9876544^2
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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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