Combining squares and conjugates

Combining squares and conjugates

Secondary 2
TGM Original Questions

Expand and simplify each of the following expressions.

  1. \((3x-2y)(2x+5y)+(x-y)^2\)
  2. \((4x-y)^2-3x(5x-2y)\)
  3. \(2(x-5)^2-(3-x)(3+x)\)
  4. \(2(3p+2)^2-3(2p-1)(2p+1)\)

Solution:

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Answer:(a) \(7x^2+9xy-9y^2\); (b) \(x^2-2xy+y^2\); (c) \(3x^2-20x+41\); (d) \(6p^2+24p+11\).

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