Common factor followed by quadratic factorisation

Common factor followed by quadratic factorisation

Secondary 2
TGM Original Questions

Factorise each of the following expressions completely.

  1. \(6a^2b-9ab^2+3ab\)
  2. \(-8x^2-4xy+12y^2\)
  3. \(4a^2b+12ab^2-16b^3\)
  4. \(x^2y-5xy^2+4y^3\)
  5. \(3x^2+12xy-15y^2\)
  6. \(-10a^2x+15ax^2-5x^3\)

Solution:

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Answer:(a) \(3ab(2a-3b+1)\); (b) \(-4(2x+3y)(x-y)\); (c) \(4b(a+4b)(a-b)\); (d) \(y(x-y)(x-4y)\); (e) \(3(x+5y)(x-y)\); (f) \(-5x(2a-x)(a-x)\).

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