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Gyaan Maths
CBSE · Class 6-12
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CBSE Maths · Class 8

Chapter 6: We Distribute, Yet Things Multiply

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Date: ______________
Marks: ____ / 6

Algebraic identities, expansion, and factorisation.

Questions

  1. (a+b)2=?(a+b)^2 = ?.
  2. Factorise x2−25x^2-25.
  3. Expand (2x−3)2(2x-3)^2.
  4. Factorise 6x+9y6x + 9y.
  5. Factorise x2+5x+6x^2+5x+6.
  6. Factorise x2−4x−12x^2-4x-12.

Extra Practice (Optional)

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Answer Key (For Teachers)

  1. Answer: a2+2ab+b2a^2+2ab+b^2
    Working: Standard identity.
  2. Answer: (x−5)(x+5)(x-5)(x+5)
    Working: Diff squares.
  3. Answer: 4x2−12x+94x^2-12x+9
    Working: Identity.
  4. Answer: 3(2x+3y)3(2x+3y)
    Working: GCF 3.
  5. Answer: (x+2)(x+3)(x+2)(x+3)
    Working: Split 5: 2, 3.
  6. Answer: (x−6)(x+2)(x-6)(x+2)
    Working: Split −4-4: −6,2-6, 2.
Gyaan Maths · CBSE Class 8 · Chapter 6
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026