IP1U4 SWI (Algebraic Identities) Q6

IP1U4 SWI (Algebraic Identities) Q6

IP 1

Factorise completely

  1. \(m^4 - 256\)
  2. \((a+b)^4 - c^4\)
  3. \(a^2b^2 - 16\)
  4. \(81x^4y^4 - 256m^4n^4\)

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Answer:(i) \((m-4)(m+4)(m^2+16)\) (ii) \((a+b-c)(a+b+c)((a+b)^2+c^2)\) (iii) \((ab-4)(ab+4)\) (iv) \((3xy-4mn)(3xy+4mn)(9x^2y^2+16m^2n^2)\)

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