Same chapter3 marksDifficulty: Medium
Evaluate (997)2 using a standard identity.
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Original Khojo Papers practice question — not from a past board paper.
23
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Squaring both sides gives x2 + 2 + 1/x2 = 25, so x2 + 1/x2 = 23.
From the same topic and chapter, at a similar level.
Evaluate (997)2 using a standard identity.
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Expand (a + b + c)2 and use it to evaluate (10 + 2 + 3)2 without direct multiplication.
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If a + b = 7 and ab = 12, find a2 + b2 and a3 + b3.
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If x + 1/x = 4, find x3 + 1/x3.
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If x − 1/x = 3, find x2 + 1/x2.
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If x + 1/x = 3, then x2 + 1/x2 is:
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