Algebraic Factorisation: Mixed Techniques

Algebraic Factorisation: Mixed Techniques

Secondary 2

Factorise each of the following expressions completely.

  1. \({{x}^{2}}+16x+64\)
  2. \(9{{x}^{2}}-24x+16\)
  3. \(-4{{x}^{2}}+36\)
  4. \(9{{x}^{2}}-16{{y}^{2}}\)
  5. \({{\left( a+3 \right)}^{2}}-25\)

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Answer:(a) \((x + 8)^2\) (b) \((3x - 4)^2\) (c) \(4(3 - x)(3 + x)\) (d) \((3x - 4y)(3x + 4y)\) (e) \((a + 8)(a - 2)\)

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