Question
Consider the following pattern
$\begin{array}{l}2^3-1^3=1+2 \times 1 \times 3,3^3-2^3=1+3 \times 2 \times 3 \\4^3-3^3=1+4 \times 3 \times 3\end{array}$
Using the above pattern, find the value of the following:
(i) $7^3-6^3$$\qquad\quad$(ii) $12^3-11^3$
(iii) $20^3-19^3$$\quad~~$(iv) $51^3-50^3$
$\begin{array}{l}2^3-1^3=1+2 \times 1 \times 3,3^3-2^3=1+3 \times 2 \times 3 \\4^3-3^3=1+4 \times 3 \times 3\end{array}$
Using the above pattern, find the value of the following:
(i) $7^3-6^3$$\qquad\quad$(ii) $12^3-11^3$
(iii) $20^3-19^3$$\quad~~$(iv) $51^3-50^3$