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$p-q=r$ হলে, দেখাও যে, $p^3-q^3-r^3=3pqr$

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$p-q=r$ হলে, দেখাও যে, $p^3-q^3-r^3=3pqr$

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দেওয়া আছে,
$p-q=r$

বা, $\left(p-q\right)^3=\left(r\right)^3$

বা, $p^3-q^3-3pq\left(p-q\right)=r^3$

বা, $p^3-q^3-3pq\cdot r=r^3$

$\therefore p^3-q^3-r^3=3pqr$ [Showed]

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