Questions: Simplify (2+3)^2+8 ÷ 2

Simplify (2+3)^2+8 ÷ 2
Transcript text: Simplify $(2+3)^{2}+8 \div 2$
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Solution

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Solution Steps

To simplify the expression \((2+3)^{2}+8 \div 2\), follow these steps:

  1. Calculate the expression inside the parentheses: \(2 + 3\).
  2. Square the result from step 1.
  3. Divide 8 by 2.
  4. Add the results from steps 2 and 3.
Step 1: Calculate the Expression Inside the Parentheses

First, evaluate the expression inside the parentheses: \[ 2 + 3 = 5 \]

Step 2: Square the Result

Next, square the result from Step 1: \[ 5^2 = 25 \]

Step 3: Divide 8 by 2

Now, perform the division: \[ 8 \div 2 = 4 \]

Step 4: Add the Results

Finally, add the results from Step 2 and Step 3: \[ 25 + 4 = 29 \]

Final Answer

The simplified expression is \(\boxed{29}\).

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