IP1U4 SWI (Algebraic Identities) Q13

IP1U4 SWI (Algebraic Identities) Q13

IP 1

Expand and simplify

  1. \(\left( -\frac{1}{2}ab^2 - \frac{2}{3}c \right)^2\)
  2. \((-ab^2 - c)^2\)
  3. \((x - 3y)(3y - x)\)
  4. \((a + b + c + d)^2\)

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Answer:(i) \(\frac14a^2b^4+\frac23ab^2c+\frac49c^2\) (ii) \(a^2b^4+2ab^2c+c^2\) (iii) \(-x^2+6xy-9y^2\) (iv) \(a^2+b^2+c^2+d^2+2ab+2ac+2ad+2bc+2bd+2cd\)

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