Expanding and Factorising Perfect Square Expressions

Expanding and Factorising Perfect Square Expressions

IP 1
TGM Original Questions

Expand and simplify:

  1. \({{\left( a+b \right)}^{2}}\)
  2. \({{\left( 2a-b \right)}^{2}}\)
  3. \({{\left( 3x+1 \right)}^{2}}\)

Factorise completely:

  1. \({{a}^{2}}+2ab+{{b}^{2}}\)
  2. \(4{{a}^{2}}-4ab+{{b}^{2}}\)
  3. \(9{{x}^{2}}+6x+1\)

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Answer:(a) a² + 2ab + b²; (b) 4a² - 4ab + b²; (c) 9x² + 6x + 1; (d) (a+b)²; (e) (2a-b)²; (f) (3x+1)²

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