Math Problem Statement

Solution

The image contains two mathematical expressions:

  1. 42+224^2 + 2^2
  2. (4+5)2(4 + 5) - 2

Let's solve each expression step by step.

1. 42+224^2 + 2^2

This expression involves two squares and their sum:

  • 42=164^2 = 16
  • 22=42^2 = 4

Adding them together: 16+4=2016 + 4 = 20

So, 42+22=204^2 + 2^2 = 20.

2. (4+5)2(4 + 5) - 2

This expression involves a sum inside parentheses and then a subtraction:

  • First, calculate the sum inside the parentheses: 4+5=94 + 5 = 9
  • Then subtract 2: 92=79 - 2 = 7

So, (4+5)2=7(4 + 5) - 2 = 7.

Final Results:

  • 42+22=204^2 + 2^2 = 20
  • (4+5)2=7(4 + 5) - 2 = 7

Would you like more details or have any further questions?

Here are 8 related questions you might find interesting:

  1. What is the general formula for the sum of squares?
  2. How does the order of operations affect the outcome of an expression?
  3. What is the difference between parentheses and brackets in expressions?
  4. How would the expression change if the numbers were negative?
  5. Can you explain the distributive property in algebra?
  6. What happens if you reverse the order of addition and subtraction in an expression?
  7. How do exponents influence the magnitude of a number?
  8. What is the next step in solving more complex algebraic expressions?

Tip: Always remember to handle operations inside parentheses first according to the order of operations (PEMDAS/BODMAS).

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations
Parentheses in Expressions

Formulas

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Theorems

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Suitable Grade Level

Grades 5-8