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Expanding Products of Binomials and Polynomials

Expanding Products of Binomials and Polynomials

Secondary 2

Expand and simplify each of the following expressions.

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

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Answer:(a) \(4x^2+6xy-18y^2\) (b) \(18x^3-12x^2-12x+8\) (c) \(-17x^2\) (d) \(8x^2+2xy+4x-3y^2-2y\) (e) \(18x^3+9x^2-2x-15\)

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