IP1U4 SWI (Algebraic Identities) Q18

IP1U4 SWI (Algebraic Identities) Q18

IP 1

Factorise completely

  1. \(a^4 - \frac{1}{b^4}\)
  2. \(75a^3b^2 - 108ab^4\)
  3. \(25(x+y)^2 - 16(x-y)^2\)
  4. \(3a^5 - 48a^3\)

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Answer:(i) \(\left(a^2+\frac1{b^2}\right)\left(a+\frac1b\right)\left(a-\frac1b\right)\) (ii) \(3ab^2(5a+6b)(5a-6b)\) (iii) \((9x+y)(x+9y)\) (iv) \(3a^3(a+4)(a-4)\)

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