Question

use the order of operations to evaluate this expression: $(-2 + 1)^2 + 5(12 \div 3) - 9$. type the correct answer in the box. use numerals instead of words. the value of the expression is \boxed{}.

Explanation:

Step1: Simplify parentheses

First, simplify the expressions inside the parentheses. For \((-2 + 1)\), we have \(-2 + 1 = -1\). For \((12 \div 3)\), we have \(12 \div 3 = 4\). So the expression becomes \((-1)^2 + 5(4) - 9\).

Step2: Simplify exponents

Next, simplify the exponent. \((-1)^2 = (-1) \times (-1) = 1\). Now the expression is \(1 + 5(4) - 9\).

Step3: Multiply

Then, perform the multiplication. \(5(4) = 5 \times 4 = 20\). The expression is now \(1 + 20 - 9\).

Step4: Add and subtract

Finally, add and subtract from left to right. \(1 + 20 = 21\), and then \(21 - 9 = 12\).

Answer:

12