I have selected these questions to reflect various factorising methods that I have discussed in my other tutorials.
The worked solutions are given in the videos.

Examples in the video

Factorise the following:

  1. 10{x^{5}{y^2}} - 12{x^4}{y^3}
  2. 3{a^2}-12
  3. 7{x^2}+4x-3
  4. 15{a^2}+ab-6b^2

Examples in the video

Factorise the following:

  1. 3a^2 - 6ac + 3ab - 6bc
  2. 30x^3 + 3x^2 - 9x
  3. (a+b)^2 - (a+b)(a + 3b)

Examples in the video

Factorise the following:

  1. p^4 - q^4
  2. 2 + 3x - 9x^2
  3. x^6 - 8x^3 + 15