Simplify the following expression. $\frac{(62×62×62)-3(62×62×22)+3(62×22×22)-(22×22×22)}{8×8×8}$

225 1250 125 25

125

$\frac{(62×62×62)-3(62×62×22)+3(62×22×22)-(22×22×22)}{8×8×8}$ (a - b)3 = a3 - b3 - 3ab(a-b) Here a = 62 and b = 22 So, $\frac{(62×62×62)-3(62×62×22)+3(62×22×22)-(22×22×22)}{8×8×8}$ = \(\frac{(62-22)^3}{512}\) = \(\frac{64000}{512}\) = 125