Algebraic Expansion with Variables

Algebraic Expansion with Variables

Secondary 2

Expand and simplify each of the following expressions.

  1. \(9x\times \left( -2y \right)\)
  2. \(2x{{y}^{3}}\times 6x{{y}^{2}}\)
  3. \(x\left( 5y+9 \right)\)
  4. \(-4x\left( -x+3y \right)\)
  5. \(3z\left( 6x+y \right)+8z\left( x-5y \right)\)
  6. \(-x\left( 5y+2z \right)-7x\left( y-4z \right)\)

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Answer:(a) \(-18xy\) (b) \(12x^2y^5\) (c) \(5xy + 9x\) (d) \(4x^2 - 12xy\) (e) \(26xz - 37yz\) (f) \(-12xy + 26xz\)

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