Question

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

Answer 1

Answer:  $2x^3-2x^2-13x+3$

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Work Shown:

I'm assuming you meant to say $(x - 3)(2x^2 + 4x - 1)$

Let $y = x-3$

So,

$(x - 3)(2x^2 + 4x - 1)\\\\y(2x^2 + 4x - 1)\\\\y2x^2 + y4x - y\\\\2x^2(y) + 4x(y) - (y)\\\\2x^2(x-3) + 4x(x-3) - (x-3)\\\\2x^3-6x^2 + 4x^2-12x - x+3\\\\2x^3-2x^2-13x+3$

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