Question
Evaluate the following:
$(598)^3$
$(598)^3$
✓
Answer
We know that $(a-b)^3=a^3-b^3-3 a b(a-b)$ $\Rightarrow(598)^3$ 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 $(598)^3=213847192$
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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