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MaiaFurubotten962 MaiaFurubotten962
  • 31-07-2014
  • Mathematics
Answered

Factor the polynomial below 20x^2-45

Verified Answer :

Anonymous Anonymous
  • 31-07-2014

\(20x^2-45=5(4x^2-9)=5[(2x)^2-3^2]=5(2x-3)(2x+3)\\\\--------------------------\\\\use:a^2-b^2=(a-b)(a+b)\)

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kate200468
kate200468 kate200468
  • 03-08-2014

\((a+b)(a-b)=a^2-b^2\\---------------------\\\\20x^2-45=5\cdot4x^2-5\cdot9=5\cdot(4x^2-9)=\\\\.\ \ \ \ \ \ \ \ \ \ \ \ =5\cdot[(2x)^2-3^2]=5\cdot(2x+3)(2x-3)\)

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