Question

In the following exercises, simplify each expression.

$8+2\left[7-2\left(5-3\right)\right]-3^2$

Short answer

The simplified value of the expression is 5.

Step-by-step solution

Step 1. Given Information.

The given expression is $8+2\left[7-2\left(5-3\right)\right]-3^2$.

Step 2. Apply the order of the operation.  

• Simplify the expression inside the parentheses and then remove the bracket by applying the operation inside the bracket.
• Simplify the exponent and then apply the operation left to right.

$\begin{array}{rcl}8+2\left[7-2\left(5-3\right)\right]-3^2& =& 8+2\left[7-2\left(2\right)\right]-3^2\\ & =& 8+2\left[7-4\right]-3^2\\ & =& 8+2\left[3\right]-3^2\\ & =& 8+6-3^2\\ & =& 8+6-9\\ & =& 14-9\\ & =& 5\end{array}$

Step 3. Conclusion.

The obtained value is 5.