Expanding and Simplifying Algebraic Expressions

Expanding and Simplifying Algebraic Expressions

Secondary 2

Expand and simplify each of the following expressions.

  1. \(3a\left( 6+a \right)-2\left( 5a-4 \right)\)
  2. \(-x\left( 9-3x \right)+5x\left( x-9 \right)\)
  3. \(2{{x}^{2}}+3x-8-\left( -12{{x}^{2}} \right)-6x-2\)
  4. \(x+\left( -3{{x}^{2}} \right)+3\left( 4{{x}^{2}}-7x \right)\)
  5. \(2\left( 2-8{{x}^{2}}-9x \right)-5\left( {{x}^{2}}-3x-6 \right)\)

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Answer:(a) \(3{{a}^{2}}+8a+8\) (b) \(8{{x}^{2}}-54x\) (c) \(14{{x}^{2}}-3x-10\) (d) \(9{{x}^{2}}-20x\) (e) \(-21{{x}^{2}}-3x+43\)

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