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Evaluate each of the following:$(98)^3$
Given:
$(98)^3$
To do:
We have to evaluate $(98)^3$.
Solution:
We know that,
$(a+b)^3=a^3 + b^3 + 3ab(a+b)$
$(a-b)^3= a^3-b^3-3ab(a-b)$
Therefore,
$(98)^3 = (100 - 2)^3$
$= (100)^3 - (2)^3 - 3 \times 100 \times 2(100 - 2)$
$= 1000000 - 8 - 600 \times 98$
$= 1000000 - 8 - 58800$
$= 941192$
Hence, $(98)^3 = 941192$.
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