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प्रश्न
Verify the following:
(a2 – b2)(a2 + b2) + (b2 – c2)(b2 + c2) + (c2 – a2) + (c2 + a2) = 0
उत्तर
Taking L.H.S. = (a2 – b2)(a2 + b2) + (b2 – c2)(b2 + c2) + (c2 – a2) + (c2 + a2)
= (a4 – b4 + b4 – c4 + c4 – a4) ...[Using the identity, (a – b)(a + b) = a2 – b2]
= 0
= R.H.S.
Hence verified.
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