Math Problem Statement

84+2(10+(7-3))-3^2

Solution

Let's break down the expression step by step:

The expression is:

84+2×(10+(73))3284 + 2 \times \left(10 + \left(7 - 3\right)\right) - 3^2

Step 1: Solve the innermost parentheses

73=47 - 3 = 4 Now the expression becomes: 84+2×(10+4)3284 + 2 \times \left(10 + 4\right) - 3^2

Step 2: Solve the next parentheses

10+4=1410 + 4 = 14 Now the expression becomes: 84+2×143284 + 2 \times 14 - 3^2

Step 3: Handle the exponents

32=93^2 = 9 Now the expression becomes: 84+2×14984 + 2 \times 14 - 9

Step 4: Perform multiplication

2×14=282 \times 14 = 28 Now the expression becomes: 84+28984 + 28 - 9

Step 5: Perform the addition and subtraction from left to right

84+28=11284 + 28 = 112 1129=103112 - 9 = 103

So, the final result is:

103\boxed{103}

Would you like any more details or have any questions?

Here are some related questions:

  1. What is the value of 2(5+(84))422(5 + (8 - 4)) - 4^2?
  2. Can you simplify 3(9+(62))533(9 + (6 - 2)) - 5^3?
  3. What does 723(4+(31))+27^2 - 3(4 + (3 - 1)) + 2 equal to?
  4. How does changing the order of operations affect the result of 50+3(8+(75))2350 + 3(8 + (7 - 5)) - 2^3?
  5. Solve 90+4(6+(2×3))1690 + 4(6 + (2 \times 3)) - 16.

Tip: Always follow the order of operations (PEMDAS/BODMAS) to ensure correct results in mathematical expressions.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations
Parentheses
Exponents

Formulas

Order of Operations (PEMDAS/BODMAS)

Theorems

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Suitable Grade Level

Grades 5-7