Question

Find the value of using the short-cut method:
(25)³

Answer 1

${\left(25\right)}^3$
Here, a = 2 and b = 5

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

4 $\times$ 2	4 $\times$ 15	25 $\times$ 6	25 $\times$5
8 $+$7	60 $+$ 16	150 $+$ 12	125
15	76	162

∴ ${\left(25\right)}^3$ = 15625