Answer:
To find the value of 81³ - 80³ using the given pattern, we can follow the same approach as in the previous examples.
1. Start by expressing the difference of cubes, 81³ - 80³, as a sum.
81³ - 80³ = (1 + 2 × 1 × 3) + (1 + 3 × 2 × 3) + ...
2. Expand the terms based on the pattern.
81³ - 80³ = 1 + 2 × 1 × 3 + 1 + 3 × 2 × 3 + ...
3. Simplify each term.
81³ - 80³ = 1 + 6 + 1 + 18 + ...
4. Continue this pattern until you reach the desired term.
81³ - 80³ = 1 + 6 + 1 + 18 + ...
5. Add up the simplified terms.
81³ - 80³ = 26 + ...
Therefore, the value of 81³ - 80³ is 26.
By following the given pattern, we can find the value of the expression by expanding it into a sum of terms and simplifying each term according to the pattern. In this case, the pattern involves the difference of cubes and the multiplication of certain numbers.
Explanation: