From first to last, order the steps to prove that expression A is equivalent to expression B.

Question

Expression A: (x+4)(x−2)

Expression B: x2+2x−8




Option #1: (x+4)(x−2)
(Start)

Option #2: x2−2x+4x−8

Option #3: x2+2x−8

Option #4: x(x)−x(2)+4(x)−4(2)

(2 points)
First: Option #__

Second: Option #__

Third: Option #__

Fourth: Option #__

Answer 1

To prove that Expression A is equivalent to Expression B, we can begin with Expression A and simplify it step by step until we reach Expression B. Here’s the ordered sequence of steps:

First: Option #1: (x + 4)(x - 2) (Start)

Second: Option #4: x(x) - x(2) + 4(x) - 4(2)

Third: Option #2: x² - 2x + 4x - 8

Fourth: Option #3: x² + 2x - 8

Putting it all together:

First: Option #1
Second: Option #4
Third: Option #2
Fourth: Option #3