The calculation is as follows:

1. Square \( -6 \):
   \[
   (-6)^2 = 36
   \]

2. Multiply by 2 and make it negative (as indicated by the parentheses around the square):
   \[
   2 \times (-36) = -72
   \]

3. Add the remaining terms:
   \[
   -72 + 2 + 4 = -66
   \]

So, the final result is \(-66\).

Would you like further details or have any questions?

Here are some related questions you might be interested in:
1. How does the order of operations affect the calculation?
2. Why does squaring a negative number result in a positive value?
3. What would the result be if the negative sign was inside the square, like \( (-6^2) \)?
4. How would the expression change if it were \( 2(-6)^2 + 2 + 4 \)?
5. What is the difference between squaring a number and multiplying it by itself?

**Tip:** Remember that the order of operations is crucial in mathematics; parentheses and exponents come before multiplication, division, addition, and subtraction.

Learn how to solve the expression 2(-6²) + 2 + 4 using the order of operations. This detailed explanation covers the use of exponents and arithmetic while emphasizing the importance of following PEMDAS rules. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation