Factorising homogeneous quadratics

Factorising homogeneous quadratics

Secondary 2
TGM Original Questions

Factorise each of the following expressions completely.

  1. \(x^2+5xy+6y^2\)
  2. \(2a^2-7ab+3b^2\)
  3. \(3p^2+2pq-8q^2\)
  4. \(4a^2b^2-4ab-3\)
  5. \(5m^2+13mn+6n^2\)
  6. \(8r^2-2rs-3s^2\)

Solution:

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Answer:(a) \((x+2y)(x+3y)\); (b) \((2a-b)(a-3b)\); (c) \((3p-4q)(p+2q)\); (d) \((2ab+1)(2ab-3)\); (e) \((5m+3n)(m+2n)\); (f) \((4r-3s)(2r+s)\).

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