To prove that expression A \((x+4)(x−2)\) is equivalent to expression B \(x^2+2x−8\), we can follow these ordered steps:
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First: Option #1: \((x+4)(x−2)\) (Start)
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Second: Option #2: \(x^2−2x+4x−8\) (Distributing the terms)
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Third: Option #4: \(x(x)−x(2)+4(x)−4(2)\) (Breaking down the distribution)
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Fourth: Option #3: \(x^2+2x−8\) (Combining like terms leads to Expression B)
So the final ordering would be:
- First: Option #1
- Second: Option #2
- Third: Option #4
- Fourth: Option #3