Question

Find the value of using the short-cut method:
(47)³

Answer 1

${\left(47\right)}^3$
Here, a = 4 and b = 7

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

16 $\times$ 4	16 $\times$ 21	49 $\times$ 12	49 $\times$7
64 $+$39	336 $+$ 62	588 $+$ 34	343
103	398	622

∴ ${\left(47\right)}^3$ = 103823