Expanding special-identity expressions

Expanding special-identity expressions

Secondary 2
TGM Original Questions

Expand and simplify each of the following expressions.

  1. \((4p-5q)^2\)
  2. \((3a+\frac23b)^2\)
  3. \((3m^3-4n^2)(3m^3+4n^2)\)
  4. \((2x+5y)^2+(x-3y)^2\)
  5. \((7p+2q)(7p-2q)-3p(p+q)\)
  6. \(4f(f-2)-(3f+1)^2\)

Solution:

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Answer:(a) \(16p^2-40pq+25q^2\); (b) \(9a^2+4ab+\frac49b^2\); (c) \(9m^6-16n^4\); (d) \(5x^2+14xy+34y^2\); (e) \(46p^2-3pq-4q^2\); (f) \(-5f^2-14f-1\).

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