Expansion and Simplification of Algebraic Expressions

Expansion and Simplification of Algebraic Expressions

Secondary 2

Expand and simplify each of the following expressions.

  1. \(\left( x+7 \right)\left( x+8 \right)\)
  2. \(\left( 3x-7 \right)\left( 5x-8 \right)\)
  3. \(\left( 9+4x \right)\left( x-11 \right)\)
  4. \(\left( 5-11x \right)\left( 7x-2 \right)\)
  5. \(\left( x-2 \right)\left( 3x+5 \right)-5x\left( x-7 \right)\)

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Answer:(a) \(x^2+15x+56\) (b) \(15x^2-59x+56\) (c) \(4x^2-35x-99\) (d) \(-77x^2+57x-10\) (e) \(-2x^2+34x-10\)

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