Without actually calculating the cubes, find the value of each of the following
$(31)^{3}-(16)^{3}-(15)^{3}$
$14250$
$22500$
$21436$
$22320$
If $x+2$ is a factor of $x^{3}+a x^{2}-x+30,$ find the value of $a$.
The coefficient of $x$ in the expansion of $(x+3)^{3}$ is
Evaluate
$(98)^{2}$
Write whether the statement are True or False. Justify your answer.
A binomial may have degree $5$
If $a+b+c=0,$ then the value of $a^{3}+b^{3}+c^{3}$ is equal to
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