Polynomial Expansion and Simplification

Polynomial Expansion and Simplification

Secondary 2

Expand and simplify each of the following expressions.

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

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Answer:(a) \(2x^2+15xy-8y^2\) (b) \(7x^3-8x^2-28x+32\) (c) \(4x^2-18xy+8y^2\) (d) \(x^2-xy-2x-30y^2+12y\) (e) \(x^3-4x^2-37x-20\)

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