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Difference of Two Squares: Expansion and Factorisation

Difference of Two Squares: Expansion and Factorisation

IP 1
TGM Original Questions

Expand and simplify:

  1. \(\left( a+b \right)\left( a-b \right)\)
  2. \(\left( 2a+3b \right)\left( 2a-3b \right)\)
  3. \(\left( 5x+4y \right)\left( 5x-4y \right)\)

Factorise completely:

  1. \({{a}^{2}}-{{b}^{2}}\)
  2. \(4{{a}^{2}}-9{{b}^{2}}\)
  3. \(25{{x}^{2}}-16{{y}^{2}}\)

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Answer:(a) \(a^2-b^2\), (b) \(4a^2-9b^2\), (c) \(25x^2-16y^2\), (d) \((a+b)(a-b)\), (e) \((2a+3b)(2a-3b)\), (f) \((5x+4y)(5x-4y)\)

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