Combining multivariable products

Combining multivariable products

Secondary 2
TGM Original Questions

Expand and simplify each of the following expressions.

  1. \((3x+2y)(2x-5y)+(x-y)(4x+y)\)
  2. \((4a-b)(a+3b)-2b(2a-b)\)
  3. \(2(2p+q)(p-3q)-(p-q)(3p+2q)\)
  4. \((5m-2n)(2m+n)+3n(m-4n)\)
  5. \(6xy-(x+2y)(3x-y)\)
  6. \(4ab+2(a-b)(3a+2b)\)

Solution:

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Answer:(a) \(10x^2-14xy-11y^2\); (b) \(4a^2+7ab-b^2\); (c) \(p^2-9pq-4q^2\); (d) \(10m^2+4mn-14n^2\); (e) \(-3x^2+xy+2y^2\); (f) \(6a^2+2ab-4b^2\).

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