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Simplify this expression and show ALL the steps to simplifying it. ([(-4)+6]²)/(-2)

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Final answer:

The expression ([(-4)+6]²)/(-2) is simplified in three steps: add numbers inside parentheses, square the result, and divide by -2, resulting in the simplified expression -2.

Step-by-step explanation:

To simplify the expression ([(-4)+6]²)/(-2), we will follow several steps to reduce the expression to its simplest form.

  1. First, simplify the numbers inside the parentheses: (-4) + 6 = 2.
  2. Next, square the result from step 1: 2² = 4.
  3. Finally, divide the squared number by -2: 4 / (-2) = -2.

The simplified expression is therefore -2.

User Vladimir Gritsenko
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