1 markMedium

If x + 1/x = 3, then x² + 1/x² is:

Original Khojo Papers practice question — not from a past board paper.

Answer

From the same topic and chapter, at a similar level.

Same chapter3 marksMedium

If a + b = 7 and ab = 12, find a² + b² and a³ + b³.

Expansions

Same chapter3 marksMedium

If x − 1/x = 3, find x² + 1/x².

Expansions

Same chapter3 marksMedium

If x + 1/x = 4, find x³ + 1/x³.

Expansions

Same chapter3 marksMedium

Expand (a + b + c)² and use it to evaluate (10 + 2 + 3)² without direct multiplication.

Expansions

Same chapter3 marksMedium

If x + 1/x = 5, find x² + 1/x².

Expansions

Same chapter3 marksMedium

Evaluate (997)² using a standard identity.

Expansions