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Gyaan Maths
CBSE · Class 6-10
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CBSE Maths · Class 8

Chapter 14: Factorisation

Name: ________________________
Date: ______________
Marks: ____ / 10

Factorising algebraic expressions using common factors, grouping and identities.

Questions

  1. Factorise 12x2−20x12x^2 - 20x.
  2. Factorise y2−16y^2 - 16.
  3. Factorise x2+7x+12x^2 + 7x + 12.
  4. Factorise x2−25x^2 - 25.
  5. Factorise x2+7x+12x^2 + 7x + 12.
  6. Factorise 4x2−94x^2 - 9.
  7. Factorise 2x2+8x2x^2 + 8x.
  8. Factorise x2+2x+1x^2 + 2x + 1.
  9. Divide 6x3/2x6x^3/2x.
  10. Factorise x3−xx^3 - x.

Extra Practice (Optional)

  • Factorise x2−8x+15x^2 - 8x + 15.
  • Factorise a2b−ab2a^2b - ab^2.
  • Factorise 16−9y216 - 9y^2.

Answer Key (For Teachers)

  1. Answer: 4x(3x−5)4x(3x-5).
    Working: Common 4x4x.
  2. Answer: (y−4)(y+4)(y-4)(y+4).
    Working: Difference of squares.
  3. Answer: (x+3)(x+4)(x+3)(x+4).
    Working: (x+3)(x+4)(x+3)(x+4).
  4. Answer: (x−5)(x+5)(x-5)(x+5)
    Working: a2−b2a^2 - b^2.
  5. Answer: (x+3)(x+4)(x+3)(x+4)
    Working: Split 7=3+47 = 3+4.
  6. Answer: (2x−3)(2x+3)(2x-3)(2x+3)
    Working: a2−b2a^2 - b^2.
  7. Answer: 2x(x+4)2x(x+4)
    Working: Common 2x2x.
  8. Answer: (x+1)2(x+1)^2
    Working: (x+1)2(x+1)^2.
  9. Answer: 3x23x^2
    Working: Cancel.
  10. Answer: x(x−1)(x+1)x(x-1)(x+1)
    Working: Take xx out.
Gyaan Maths · CBSE Class 8 · Chapter 14
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026