Expanding mixed algebraic products

Expanding mixed algebraic products

Secondary 2
TGM Original Questions

Expand each of the following expressions.

  1. \((4x-5y)(3x+2y)\)
  2. \((5-r)(3r-4)\)
  3. \(4(3a-2)(2a+5)\)
  4. \((2m^2+3n)(4m-n^2)\)
  5. \((2p+q)(5p-3q+4)\)
  6. \(-3x^2y(2x^3+5y)\)

Solution:

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Answer:(a) \(12x^2-7xy-10y^2\); (b) \(-3r^2+19r-20\); (c) \(24a^2+44a-40\); (d) \(8m^3-2m^2n^2+12mn-3n^3\); (e) \(10p^2-pq-3q^2+8p+4q\); (f) \(-6x^5y-15x^2y^2\).

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