# The detailed solution of the above-written question is as follows,Using the above 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$find the value of the following.(i)  $7^{3}-6^{3}$

$7^{3}-6^{3} =$  $7^{3}-6^{3} = 1 + 7\times6\times3 = 1 + 126 = 127$