Question
Evaluate the following : $(598)^3$
✓
Answer
We know that $(a - b)^3 = a^3 - b^3 - 3ab(a - b)$
$\Rightarrow (598)^3$ can be written as $(600 - 2)^3$
Here, $a = 600$ and $b = 2$
$(598)^3 = (600 - 2)^3$
$= (600)^3 - (2)^3 - 3(600)(2)(600 - 2)$
$= 216000000 - 8 - (3600 \times 598)$
$= 216000000 - 8 - 2152800$
$= 216000000 - 2152808$
$= 213847192$
The value of $(598)^3 $
$= 213847192$
$\Rightarrow (598)^3$ can be written as $(600 - 2)^3$
Here, $a = 600$ and $b = 2$
$(598)^3 = (600 - 2)^3$
$= (600)^3 - (2)^3 - 3(600)(2)(600 - 2)$
$= 216000000 - 8 - (3600 \times 598)$
$= 216000000 - 8 - 2152800$
$= 216000000 - 2152808$
$= 213847192$
The value of $(598)^3 $
$= 213847192$
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