Question

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

Answer 1

Vì trong dãy trên sẽ có 1000-10\(^3\)=0

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

Answer 2

Tính: $\left(1000-1^3\right).\left(1000-2^3\right).\left(1000-3^3\right)......\left(1000-{50}^3\right)=..........$

Ta có : 1000 - 1³ = 1000 - 1000 = 0

Nên : ($1000-1^3).\left(1000-2^3\right).\left(1000-3^3\right)......\left(1000-{50}^3\right)$= 0

Vậy ...

Answer 3

Ta có: (1000 - 1^3) . (1000 - 2^3) . (1000 - 3^3) . ... . (1000 - 10^3) . ... . (1000 - 50^3)

= (1000 - 1^3) . (1000 - 2^3) . (1000 - 3^3) . ... . (1000 - 1000). ... . (1000 - 50^3)

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

= 0

Answer 4

Ta có: (1000 - 1³) . (1000 - 2³) . (1000 - 3³) . ... . (1000 - 10³) . ... . (1000 - 50³)

= (1000 - 1³) . (1000 - 2³) . (1000 - 3³) . ... . (1000 - 1000). ... . (1000 - 50³)

= (1000 - 1³) . (1000 - 2³) . (1000 - 3³) . ... . 0 . ... . (1000 - 50³)

= 0