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Gyaan Maths
CBSE · Class 6-12
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CBSE Maths · Class 9

Chapter 4: Exploring Algebraic Identities

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Date: ______________
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Key identities and their use in expansion & factorisation.

Questions

  1. Expand (a−b)2(a-b)^2.
  2. Factorise x2−25x^2 - 25.
  3. (x+2)3=?(x+2)^3 = ?
  4. Factorise 27+a327 + a^3.
  5. (x+y)(x−y)=?(x+y)(x-y) = ?
  6. Value of 1012101^2 using identity.

Extra Practice (Optional)

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Answer Key (For Teachers)

  1. Answer: a2−2ab+b2a^2-2ab+b^2
    Working: Identity.
  2. Answer: (x−5)(x+5)(x-5)(x+5)
    Working: Diff sq.
  3. Answer: x3+6x2+12x+8x^3+6x^2+12x+8
    Working: Identity.
  4. Answer: (3+a)(9−3a+a2)(3+a)(9-3a+a^2)
    Working: Sum cubes.
  5. Answer: x2−y2x^2-y^2
    Working: Diff sq.
  6. Answer: 1020110201
    Working: (100+1)2(100+1)^2.
Gyaan Maths · CBSE Class 9 · Chapter 4
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026