Questions: 7 ·(6+2)^2-3^2=

Solution Steps

To solve the expression \(7 \cdot(6+2)^{2}-3^{2}\), follow these steps:

1. Calculate the expression inside the parentheses: \(6 + 2\).
2. Square the result from step 1.
3. Multiply the squared result by 7.
4. Calculate \(3^2\).
5. Subtract the result from step 4 from the result of step 3.

First, we evaluate the expression inside the parentheses: \[ 6 + 2 = 8 \]

Next, we square the result from Step 1: \[ 8^2 = 64 \]

Now, we multiply the squared result by 7: \[ 7 \cdot 64 = 448 \]

We then calculate \(3^2\): \[ 3^2 = 9 \]

Finally, we subtract the result from Step 4 from the result of Step 3: \[ 448 - 9 = 439 \]

Final Answer