\(A=\left(1000-1^3\right)\left(1000-2^3\right).............\left(1000-25^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right).........\left(1000-10^3\right).........\left(100-25^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right)..........\left(1000-1000\right).......\left(1000-25^3\right)\)
\(=\left(1000-1^3\right)\left(1000-2^3\right).....0........\left(1000-25^3\right)\)
\(=0\)
\(A=\left(1000-1^3\right)\left(1000-2^3\right)...\left(1000-25^3\right)\)
\(=\left(10^3-1^3\right)\left(10^3-2^3\right)...\left(10^3-25^3\right)\)
\(=\left(10^3-1^3\right)\left(10^3-2^3\right)...\left(10^3-10^3\right)...\left(10^3-25^3\right)\)
\(=0\)
Vậy A = 0.
\(A=\left(1000-1\right)\left(1000-2^3\right)...\left(1000-25^3\right)\)
Vì A có 1 thửa số là \(1000-10^3=1000-1000=0\)
=>A=(...).0=0
Vậy....
Ta có:
A=\(\left(1000-1^3\right)...\left(1000-10^3\right)....\left(1000-25^3\right)\)
=\(\left(1000-1\right)...\left(1000-1000\right)...\left(1000-25^3\right)\)=0
