Math Problem Statement

Solve this

Calculate 50 - c(a + 3[d - b(-2 - 3)^2] - 2(-1 + a)^2) where a = -2, b = 2, c = 4, d = 7.

Solution

The result of the given expression, when a=2a = -2, b=2b = 2, c=4c = 4, and d=7d = 7, is:

646646

Would you like more details on the steps, or do you have any questions?

Here are some follow-up questions to expand your understanding:

  1. How do you simplify expressions with nested parentheses and powers?
  2. Why is it important to substitute variables before simplifying complex expressions?
  3. What does each mathematical operation contribute to the final result in the given expression?
  4. How would the result change if one of the variables, such as cc, had a different value?
  5. Can you think of a real-world situation where such expressions might be useful?

Tip: Always double-check for parentheses and the order of operations when simplifying expressions!

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Math Problem Analysis

Mathematical Concepts

Algebra
Order of Operations
Substitution

Formulas

Order of operations (PEMDAS/BODMAS): Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
Power of a number: x^2

Theorems

Order of Operations

Suitable Grade Level

Grades 9-12