9. Consider the following pattern:
2³ - 1³ = 1 + 2 x 1 x 3
3³ - 2³ = 1 + 3 x 2 x 3
4³ - 3³ = 1 + 4 x 3 x 3
Using the above pattern, find the value of:
(i) 15³ - 14³
(in 22³ - 21³
(iii) 91³ - 90³
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Answer:
1) 1 + 15 × 14 × 3
2) 1 + 22 × 21 × 3
3) 1 + 91 × 90 × 3
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