Questions: Evaluate. 2 cdot(4+1)^2

Evaluate. 2 cdot(4+1)^2
Transcript text: Evaluate. \[ 2 \cdot(4+1)^{2} \]
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Solution

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Solution Steps

To evaluate the expression \(2 \cdot (4+1)^{2}\), follow these steps:

  1. First, solve the expression inside the parentheses: \(4 + 1\).
  2. Next, raise the result to the power of 2.
  3. Finally, multiply the result by 2.
Step 1: Evaluate the Expression Inside the Parentheses

First, we calculate the expression inside the parentheses: \[ 4 + 1 = 5 \]

Step 2: Raise the Result to the Power of 2

Next, we raise the result from Step 1 to the power of 2: \[ 5^{2} = 25 \]

Step 3: Multiply by 2

Finally, we multiply the result from Step 2 by 2: \[ 2 \cdot 25 = 50 \]

Final Answer

\(\boxed{50}\)

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