Let's solve the expression step by step:

Given expression:  
\[ 2(3)^2 + 8(-4) - 3(2)(-1) - 6 \]

1. **Evaluate the exponent:**  
   \[ (3)^2 = 9 \]

2. **Multiply by the coefficients:**  
   \[ 2(9) + 8(-4) - 3(2)(-1) - 6 \]
   \[ = 18 + 8(-4) - 3(2)(-1) - 6 \]

3. **Continue with the multiplication:**  
   \[ 18 + 8(-4) = 18 - 32 \]
   \[ 3(2)(-1) = -6 \]
   \[ = 18 - 32 - (-6) - 6 \]

4. **Simplify the expression:**  
   \[ 18 - 32 + 6 - 6 \]

5. **Final calculation:**  
   \[ = -14 + 6 - 6 \]
   \[ = -14 \]

So, the result is \(-14\).

Would you like any further explanation or details?

Here are five related questions to consider:
1. How would the result change if \((3)^2\) were replaced with \((4)^2\)?
2. What is the effect of changing the sign of the second term, \(8(-4)\)?
3. Can you evaluate \(2(5)^2 + 8(-3) - 3(1)(-2) - 7\)?
4. How do exponents and negative numbers interact in an expression?
5. How would the answer change if the multiplication in \(3(2)(-1)\) were addition instead?

**Tip:** When simplifying expressions, always follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

Learn how to solve the expression 2(3)^2 + 8(-4) - 3(2)(-1) - 6 step-by-step with detailed explanations. This problem covers arithmetic operations including exponents, multiplication, and subtraction. Suitable for students in Grades 5-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation