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)

Answer 1

To prove that Expression A \((x+4)(x−2)\) is equivalent to Expression B \(x^2 + 2x - 8\), we need to perform the steps of multiplying out Expression A and simplifying it. The correct order of steps is:

1. Option #1: \((x+4)(x−2)\) (Start)
2. Option #4: \(x(x)−x(2)+4(x)−4(2)\) (Distribute)
3. Option #2: \(x^2−2x+4x−8\) (Combine like terms)
4. Option #3: \(x^2+2x−8\) (Final result)

So, the order is: 1 → 4 → 2 → 3.