Algebraic Factorisation: Special Products & Common Factors

Algebraic Factorisation: Special Products & Common Factors

Secondary 2

Factorise each of the following expressions completely.

  1. \({{x}^{2}}+14x+49\)
  2. \(81{{x}^{2}}-36x+4\)
  3. \(25-4{{x}^{2}}\)
  4. \(18{{x}^{2}}-50{{y}^{2}}\)
  5. \(25{{m}^{2}}-{{\left( n-1 \right)}^{2}}\)

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Answer:(a) \((x + 7)^2\) (b) \((9x - 2)^2\) (c) \((5 - 2x)(5 + 2x)\) (d) \(2(3x - 5y)(3x + 5y)\) (e) \((5m + n - 1)(5m - n + 1)\)

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