miraacleee15 miraacleee15
  • 18-12-2021
  • Mathematics
contestada

Which of the following is equal to
(x - 3)(2x + 4x - 1)?
A 2x3 - 2x2 - 11x + 3
B 2x3 -- 2x2 - 13x + 3

Respuesta :

jimthompson5910 jimthompson5910
  • 18-12-2021

Answer:  [tex]2x^3-2x^2-13x+3[/tex]

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Work Shown:

I'm assuming you meant to say [tex](x - 3)(2x^2 + 4x - 1)[/tex]

Let [tex]y = x-3[/tex]

So,

[tex](x - 3)(2x^2 + 4x - 1)\\\\y(2x^2 + 4x - 1)\\\\y2x^2 + y4x - y\\\\2x^2(y) + 4x(y) - (y)\\\\2x^2(x-3) + 4x(x-3) - (x-3)\\\\2x^3-6x^2 + 4x^2-12x - x+3\\\\2x^3-2x^2-13x+3\\\\[/tex]

The basic idea is to use the distribution rule (line 3 and line 6) and then combine like terms.

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