Same chapter3 marksDifficulty: Medium
If a + b = 7 and ab = 12, find a2 + b2 and a3 + b3.
Expansions
3 marksDifficulty: Medium
Evaluate (997)2 using a standard identity.
Original Khojo Papers practice question — not from a past board paper.
Answer
9,94,009
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
It is (1000 − 3)2 = 10,00,000 − 6,000 + 9 = 9,94,009.
Related questions
From the same topic and chapter, at a similar level.
Same chapter3 marksDifficulty: Medium
If x − 1/x = 3, find x2 + 1/x2.
Expansions
Same chapter3 marksDifficulty: Medium
If x + 1/x = 4, find x3 + 1/x3.
Expansions
Same chapter3 marksDifficulty: Medium
Expand (a + b + c)2 and use it to evaluate (10 + 2 + 3)2 without direct multiplication.
Expansions
Same chapter3 marksDifficulty: Medium
If x + 1/x = 5, find x2 + 1/x2.
Expansions
Same chapter1 markDifficulty: Medium
If x + 1/x = 3, then x2 + 1/x2 is:
Expansions