Class 9 · ICSE · Mathematics

Expansions

Standard algebraic identities and their use in expanding expressions.

Topics in this chapter

Narrow to a single topic to practise one idea at a time.

12 questions in this chapter.

Answer available
Class 9 · Mathematics · Expansions
If x + 1/x = 5, find x² + 1/x².
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Expansions
If x + 1/x = 4, find x³ + 1/x³.
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Expansions
If x + 1/x = 3, then x² + 1/x² is:
1 markMediumMCQ
Answer available
Class 9 · Mathematics · Expansions
Expand (a + b + c)² and use it to evaluate (10 + 2 + 3)² without direct multiplication.
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Expansions
If a + b = 7 and ab = 12, find a² + b² and a³ + b³.
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Expansions
Expand (3a − 5b)².
2 marksEasyNumerical
Answer available
Class 9 · Mathematics · Expansions
The expansion of (a − b)² is:
1 markEasyMCQ
Answer available
Class 9 · Mathematics · Expansions
If x − 1/x = 3, find x² + 1/x².
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Expansions
Evaluate (997)² using a standard identity.
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Expansions
Evaluate 103 × 97 using a standard identity.
2 marksEasyNumerical
Answer available
Class 9 · Mathematics · Expansions
Expand: (2x + 3y)².
2 marksEasyNumerical
Answer available
Class 9 · Mathematics · Expansions
If a + b = 7 and ab = 12, find the value of a² + b².
3 marksMediumNumerical