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Question
Verify the following:
(p – q)(p2 + pq + q2) = p3 – q3
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Solution
Taking L.H.S. = (p – q)(p2 + pq + q2)
= p(p2 + pq + q2) – q(p2 + pq + q2)
= p3 + p2q + pq2 – qp2 – pq2 – q3
= p3 – q3
= R.H.S.
Hence verified.
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