Nested differences of squares

Nested differences of squares

Secondary 2
TGM Original Questions

Factorise each of the following expressions completely.

  1. \((3p+2q)^2-(4q-p)^2\)
  2. \(50r^4-2\)
  3. \(9-25x^2-16y^2+40xy\)
  4. \(9m^2-16x^2+12mn-16xn\)
  5. \(9p^2-6pq+q^2-4\)

Solution:

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

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