Question
Evaluate the following:
$(98)^3$
$(98)^3$
✓
Answer
We know that $(a-b)^3=a^3-b^3-3 a b(a-b)$
$\Rightarrow(98)^3$ can be written as $(100-2)^3$
Here, $\mathrm{a}=100$ and $\mathrm{b}=2$
$(98)^3=(100-2)^3$
$=(100)^3-(2)^3-3(100)(2)(100-2)$
$=1000000-8-(600 \times 102)$
$=1000000-8-58800$
$=941192$
The value of $(98)^3=941192$
$\Rightarrow(98)^3$ can be written as $(100-2)^3$
Here, $\mathrm{a}=100$ and $\mathrm{b}=2$
$(98)^3=(100-2)^3$
$=(100)^3-(2)^3-3(100)(2)(100-2)$
$=1000000-8-(600 \times 102)$
$=1000000-8-58800$
$=941192$
The value of $(98)^3=941192$
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