Combining one-variable products

Combining one-variable products

Secondary 2
TGM Original Questions

Expand and simplify each of the following expressions.

  1. \((x+3)(2x-5)+(4x-1)(2-x)\)
  2. \((3p-2)(p+4)-2p(p-5)\)
  3. \((5a+1)(2a-3)-3(a-2)(a+4)\)
  4. \(2(m-1)(3m+2)+(2m+5)(m-4)\)
  5. \((4t-3)(2t+1)-(t+5)(3t-2)\)
  6. \(3r(r-2)-2(r+1)(r-4)+(2r-1)(3-r)\)

Solution:

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Answer:(a) \(-2x^2+10x-17\); (b) \(p^2+20p-8\); (c) \(7a^2-19a+21\); (d) \(8m^2-5m-24\); (e) \(5t^2-15t+7\); (f) \(-r^2+7r+5\).

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