Q. Consider the following pattern.

2^{3}-1^{3}=1+2\times 1\times 3

3^{3}-2^{3}=1+3\times2\times 3

4^{3}-3^{3}=1+4\times 3\times 3

Using the above pattern,find the value of the following.

(iii)  20^{3}-19^{3}

Answers (1)

The detailed solution for the above-written question is mentioned below,

20^{3}-19^{3} = 1 + 20\times19\times3 = 1 + 1140 = 1141

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