Put the steps in the correct order when multiplying the binomials: (2x−5)(x+7)(2x−5)(x+7) . Start with the given expression and end with the simplified trinomial.(4 points) Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.  2x2+9x−352x2+9x−35  (2x−5)(x+7)(2x−5)(x+7)  2x2+14x−5x−352x2+14x−5x−35  (2x)(x)+(2x)(7)+(−5)(x)+(−5)(7)(2x)(x)+(2x)(7)+(−5)(x)+(−5)(7)

1 answer

To multiply the binomials \((2x−5)(x+7)(2x−5)(x+7)\), follow these steps in the correct order:

  1. \((2x−5)(x+7)(2x−5)(x+7)\)
  2. \((2x)(x)+(2x)(7)+(−5)(x)+(−5)(7)\)
  3. \(2x^2 + 14x - 5x - 35\)
  4. \(2x^2 + 9x - 35\)

So the correct order is:

  1. (2x−5)(x+7)(2x−5)(x+7)
  2. (2x)(x)+(2x)(7)+(−5)(x)+(−5)(7)
  3. 2x^2 + 14x - 5x - 35
  4. 2x^2 + 9x - 35