Math Problem Statement

What is the result of the mathematical expression 5 + 3(4 + 2)^2?

Solution

The expression shown in the image is:

5+3(4+2)25 + 3(4 + 2)^2

Let's solve this step-by-step following the order of operations (PEMDAS/BODMAS):

  1. Parentheses: First, solve the expression inside the parentheses.

4+2=64 + 2 = 6

  1. Exponents: Next, apply the exponent.

62=366^2 = 36

  1. Multiplication: Then, perform the multiplication.

3×36=1083 \times 36 = 108

  1. Addition: Finally, add the remaining numbers.

5+108=1135 + 108 = 113

So, the result of the expression 5+3(4+2)25 + 3(4 + 2)^2 is 113.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

  1. How does the order of operations affect the result of mathematical expressions?
  2. What would the result be if the expression had a different exponent, such as 5+3(4+2)35 + 3(4 + 2)^3?
  3. How would the result change if there were additional parentheses, like 5+(3(4+2))25 + (3(4 + 2))^2?
  4. What are some common mistakes people make when solving expressions with exponents and parentheses?
  5. Can you solve expressions involving both negative and positive numbers using the order of operations?

Tip: Always follow the order of operations to avoid mistakes in complex mathematical expressions!

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Exponents
Parentheses

Formulas

PEMDAS/BODMAS

Theorems

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Suitable Grade Level

Grades 6-8