Solve (3+1)² - (4+1): Order of Operations Practice

To solve the expression $(3+1)^2-(4+1)$, we need to apply the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right)).

Step 1: Simplify inside the parentheses.
Start with the expression inside the first parentheses: $3+1$. Adding the numbers gives:
$3+1 = 4$.

Step 2: Apply the exponent.
Next, we take the result from step 1 and apply the exponent:
$4^2$. This equals:
$4 \times 4 = 16$.

Step 3: Simplify inside other parentheses.
Now, simplify the expression inside the second set of parentheses: $4+1$. This gives:
$4+1 = 5$.

Step 4: Perform subtraction.
Finally, subtract the result of the second parentheses from the exponent result:
$16 - 5$, which equals:
$11$.

Thus, the final result of the expression $(3+1)^2-(4+1)$ is 11.