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CBSE Class 9 Algebra: expansions — practice questions

Explore 4 free Algebra: expansions questions in CBSE Class 9 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Algebra: expansions questions and exercises with answers

Showing questions 1–4 of 4.

Match each three-variable identity with its expanded polynomial:Read the answer and worked solution →Match each cubic identity with its algebraic expansion:Read the answer and worked solution →Match each special conditional cubic identity with its result:Read the answer and worked solution →Match each binomial product with its expansion:Read the answer and worked solution →

Worked practice questions

Match each three-variable identity with its expanded polynomial:

  1. 1-A, 2-B, 3-C
  2. 1-B, 2-A, 3-C
  3. 1-C, 2-B, 3-A
  4. 1-A, 2-C, 3-B
Show answer and solution

Correct answer: A. 1-A, 2-B, 3-C

(a+b+c)² expands with all positive pairwise terms. Signs on b and c dictate signs of pairwise products.

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Match each cubic identity with its algebraic expansion:

  1. 1-A, 2-B, 3-C
  2. 1-B, 2-A, 3-C
  3. 1-C, 2-B, 3-A
  4. 1-A, 2-C, 3-B
Show answer and solution

Correct answer: A. 1-A, 2-B, 3-C

(a+b)³ = a³+b³+3ab(a+b). (a-b)³ = a³-b³-3ab(a-b). a³+b³+c³-3abc factors with (a+b+c).

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Match each special conditional cubic identity with its result:

  1. 1-A, 2-B, 3-C
  2. 1-B, 2-A, 3-C
  3. 1-C, 2-B, 3-A
  4. 1-A, 2-C, 3-B
Show answer and solution

Correct answer: A. 1-A, 2-B, 3-C

If a+b+c=0 then a³+b³+c³ = 3abc. Difference of squares of reciprocals is 4. Sum of squares is 2(x²+1/x²).

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More Mathematics topics

Number SystemsAlgebraic IdentitiesProbabilityMensurationCoordinate GeometrySequencesPerimeter and AreaLinear Polynomials