Question

Find the value of using the short-cut method:
(68)³

Answer 1

${\left(68\right)}^3$
Here, a = 6 and b = 8

Using the formula $a^3+3a^{2}b+3a{b}^2+b^3$:

36 $\times$ 6	36 $\times$ 24	64 $\times$ 18	64 $\times$8
216 $+$ 98	864 $+$ 120	1152 $+$ 51	512
314	984	1203

∴ ${\left(68\right)}^3$ = 314432