Math Problem Statement

2(2)(6)^2-2^2

Solution

Let's solve the expression 2×2×62222 \times 2 \times 6^2 - 2^2.

  1. First, calculate 626^2: 62=366^2 = 36

  2. Multiply 2×2×362 \times 2 \times 36: 2×2=42 \times 2 = 4 4×36=1444 \times 36 = 144

  3. Then, calculate 222^2: 22=42^2 = 4

  4. Finally, subtract 222^2 from the previous result: 1444=140144 - 4 = 140

The result of the expression 2×2×62222 \times 2 \times 6^2 - 2^2 is 140.

Would you like any further details or have any questions?

Here are 5 related questions:

  1. What is the value of 3×2×52323 \times 2 \times 5^2 - 3^2?
  2. How does the expression change if we add 323^2 at the end instead of subtracting 222^2?
  3. What would be the result if we replace 626^2 with 727^2 in the expression?
  4. How does multiplying by a different constant, like 3×2×623 \times 2 \times 6^2, affect the result?
  5. What happens if you switch the order of operations in the expression 2×(2×6)2222 \times (2 \times 6)^2 - 2^2?

Tip: Breaking down complex expressions into smaller steps can help avoid errors and make solving them easier.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Exponents

Formulas

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Theorems

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Suitable Grade Level

Grades 5-6