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Question
Verify the following:
(7p – 13q)2 + 364pq = (7p + 13q)2
Sum
Solution
Taking L.H.S. = (7p – 13q)2 + 364pq
= (7p)2 + (13q)2 – 2 × 7p × 13q + 364q
= (7p)2 + (13q)2 – 182pq + 364pq
= (7p)2 + (13q)2 + 182pq
= (7p)2 + (13q)2 + 2 × 7p × 13q
= (7p + 13q)2
= R.H.S.
Hence verified.
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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 238]
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