Absolutely, let's break down this problem step by step. We are asked to compute [tex]\(9^3 - 10^3\)[/tex].
1. Calculate [tex]\(9^3\)[/tex]:
- [tex]\(9 \times 9 = 81\)[/tex]
- [tex]\(81 \times 9 = 729\)[/tex]
- So, [tex]\(9^3 = 729\)[/tex].
2. Calculate [tex]\(10^3\)[/tex]:
- [tex]\(10 \times 10 = 100\)[/tex]
- [tex]\(100 \times 10 = 1000\)[/tex]
- So, [tex]\(10^3 = 1000\)[/tex].
3. Subtract [tex]\(10^3\)[/tex] from [tex]\(9^3\)[/tex]:
- [tex]\(9^3 - 10^3 = 729 - 1000\)[/tex]
- [tex]\(729 - 1000 = -271\)[/tex]
Therefore, the result of [tex]\(9^3 - 10^3\)[/tex] is [tex]\(-271\)[/tex].
So, to summarize:
- [tex]\(9^3 = 729\)[/tex]
- [tex]\(10^3 = 1000\)[/tex]
- [tex]\(729 - 1000 = -271\)[/tex]
The final answer is [tex]\(-271\)[/tex].
