Question

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

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 #

Remaining Attempts : 3
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Answer 1

To prove that Expression A \((x+4)(x−2)\) is equivalent to Expression B \(x^2 + 2x - 8\), you can follow these steps in order:

1. **Start with Expression A: (x+4)(x−2)** (Option #1)
2. **Expand the expression: x²−2x+4x−8** (Option #2)
3. **Combine like terms: x² + 2x - 8** (Option #3)
4. **Arrive at Expression B: x² + 2x - 8** (Final)

So the correct order is:
- First: Option #1
- Second: Option #2
- Third: Option #3
- Fourth: Option #4 (Note: Option #4 seems to represent the distribution of each term but isn't required if you're already using expanded steps. Instead of using Option #4, just move to the combining step directly.)

Let's rewrite the options clearly in the correct order:
- First: Option #1
- Second: Option #2
- Third: Option #3
- (You can skip explicitly stating Option #4 as it duplicates steps or leads to the same conclusion used in Option #2.)

Thus, the ordered steps are:
- First: Option #1
- Second: Option #2
- Third: Option #3