Answer 1

In the given problem, we have to find the value of numbers

Given 93³ − 107³ 

We can write 93³ − 107³ as  `(100 - 7)^3 - (100 + 7)^3`

We shall use the identity  `(a-b)^3 - (a+b)^3 = -2 [b^3 + 3a^2b]`

Here  a=100,b =7

93³ − 107³   ` = (100-7)^3 - (100+ 7)^3`

                     ` = -2 [7^3 + 3 (7) (100)^2]`

                     ` = -2[343 + 21 xx 10000]`

                     ` = -2[343 + 210000]`

                     ` = -2[210343]`

                    `  = - 420686`

Hence the value of 93³ − 107³  is -420686.