Abigail11111
Abigail11111 Abigail11111
  • 25-02-2017
  • Mathematics
contestada

Which trinomial is equivalent to 3(x-2)^2-2(x-1)?

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StrangeMetalGirl
StrangeMetalGirl StrangeMetalGirl
  • 25-02-2017
3(x-2)^2-2(x-1)=3(x^2-4x+4)-2x+2=3x^2-12x+12-2x+2=3x^2-14x+14

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sortingsteering
sortingsteering sortingsteering
  • 03-07-2019

Answer: 3x^2-14x+14

Step-by-step explanation: to solve the given problem, we have to expand the factored polynomial and do the product between the terms. Finally we have to group the similar terms and add them together:

[tex]3(x-2)^{2} -2(x-1)[/tex]

[tex]3(x^{2}-4x+4)-2(x-1)[/tex]

[tex]3x^{2} -12x+12-2x+2[/tex]

[tex]3x^{2} -12x-2x+12+2[/tex]

[tex]3x^{2} -14x+14[/tex]

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