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IP1U4 SWI (Algebraic Identities) Q17

IP1U4 SWI (Algebraic Identities) Q17

IP 1

Factorise completely

  1. \(a^{12}b^4 - a^4b^{12}\)
  2. \(100(m-n)^2 - 121(x+y)^2\)
  3. \(2a - 50a^3\)
  4. \(\frac{25}{a^2} - \frac{4a^2}{9}\)

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Answer:(i) \(a^4b^4(a^4+b^4)(a^2+b^2)(a+b)(a-b)\) (ii) \((10m-10n+11x+11y)(10m-10n-11x-11y)\) (iii) \(2a(1+5a)(1-5a)\) (iv) \(\left(\frac5a+\frac{2a}{3}\right)\left(\frac5a-\frac{2a}{3}\right)\)

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