Algebraic Expansion with Multiple Variables

Algebraic Expansion with Multiple Variables

Secondary 2

Expand and simplify each of the following expressions.

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

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Answer:(a) \(-40xy\) (b) \(12x^2y^4\) (c) \(2xy + 3x\) (d) \(-10x^2 + 6xy\) (e) \(27xz - 17yz\) (f) \(-14xy + 9xz\)

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