Math Problem Statement

Re arrange and add the following. -2x^-xy-3b-c-7b+5c-2xy-x^-7xy-3c

Solution

To rearrange and combine like terms in the expression 2xxy3bc7b+5c2xyx7xy3c-2x - xy - 3b - c - 7b + 5c - 2xy - x - 7xy - 3c, follow these steps:

  1. Group like terms:

    • Terms involving xx: 2xx-2x - x
    • Terms involving xyxy: xy2xy7xy-xy - 2xy - 7xy
    • Terms involving bb: 3b7b-3b - 7b
    • Terms involving cc: c+5c3c-c + 5c - 3c
  2. Combine like terms:

    • Combine xx terms: 2xx=3x-2x - x = -3x
    • Combine xyxy terms: xy2xy7xy=10xy-xy - 2xy - 7xy = -10xy
    • Combine bb terms: 3b7b=10b-3b - 7b = -10b
    • Combine cc terms: c+5c3c=1c=c-c + 5c - 3c = 1c = c
  3. Write the simplified expression: 3x10xy10b+c-3x - 10xy - 10b + c

This is the simplified and rearranged form of the given expression.

Would you like more details or have any questions?

Related Questions:

  1. How do you simplify expressions with multiple variables?
  2. What is the difference between combining like terms and factoring?
  3. How would you solve an equation derived from this expression?
  4. Can this expression be factored further?
  5. What are common mistakes to avoid when combining like terms?

Tip: Always double-check for like terms before combining to avoid missing any terms or making errors.

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Math Problem Analysis

Mathematical Concepts

Algebra
Combining like terms
Simplifying expressions

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9