Question

Simplify$7^2-2\left[4\left(5+1\right)\right]$.

Short answer

The simplified value is 1.

Step-by-step solution

Step 1. Given information.

Consider the given information.

$7^2-2\left[4\left(5+1\right)\right]$

Step 2. Apply the order of the operations.

• First, remove the parenthesis left to right.
• Apply the multiplication operation left to right and simplify.
• Apply the addition and subtraction operation left to right.

$\begin{array}{rcl}{7}^2-2\left[4\left(5+1\right)\right]& =& 7^2-2\left[4\times 6\right]\left[\text{Parenthesis}\right]\\ & =& 7^2-2\times 24\left[\text{Remove parenthesis}\text{and multiply}\right]\\ & =& 49-48\left[\text{Substraction}\right]\\ & =& 1\end{array}$

Step 3. Conclusion.

The obtained value is 1.