Question

TÍNH

\(\left(1000-1^3\right)\cdot\left(1000-2^3\right)\cdot\left(1000-3^3\right)\cdot\cdot\cdot\left(1000-50^3\right)\)

Answer 1

Trong biểu thức trên có chứa (1000-10³), mà (1000-10³)=1000-1000=0

Do đó tích trên bằng 0

Answer 2

\(\left(1000-1^3\right)\left(1000-2^3\right)\left(1000-3^3\right)...\left(1000-10^3\right)...\left(1000-50^3\right)\)

\(=\left(1000-1^3\right)\left(1000-2^3\right)\left(1000-3^3\right)...\left(1000-1000\right)...\left(1000-50^3\right)\)

\(=\left(1000-1^3\right)\left(1000-2^3\right)\left(1000-3^3\right)...\cdot0\cdot\left(1000-50^3\right)\)

\(=0\)

Answer 3

\(\left(1000-1^3\right)\left(1000-2^3\right)...\left(1000-50^3\right)\)

\(=\left(1000-1^3\right)\left(1000-2^3\right)...\left(1000-10^3\right)...\left(1000-50^3\right)\)

\(=\left(1000-1^3\right)\left(1000-2^3\right)...0...\left(1000-50^3\right)\)

\(=0\)