Find the value of using the short-cut method:

Question:

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

Solution:

$(47)^{3}$

Here, $a=4$ and $b=7$

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

$\therefore(47)^{3}=103823$

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