Expanding Algebraic Expressions Using the Distributive Property

Expanding Algebraic Expressions Using the Distributive Property

Secondary 2

Expand and simplify each of the following expressions.

  1. \(\left( x+3 \right)\left( x+5 \right)\)
  2. \(\left( 4x-5 \right)\left( 6x-7 \right)\)
  3. \(\left( 6+2x \right)\left( 3-4x \right)\)
  4. \(\left( 2-8x \right)\left( 13x-5 \right)\)
  5. \(\left( x+6 \right)\left( x-5 \right)-\left( x+3 \right)\left( x-2 \right)\)

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Answer:(a) \({{x}^{2}}+8x+15\) (b) \(24{{x}^{2}}-58x+35\) (c) \(18-18x-8{{x}^{2}}\) (d) \(66x-10-104{{x}^{2}}\) (e) \(-24\)

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