Math Problem Statement

Combine like terms. 4, minus, 5, minus, 2, x, minus, 4, y, plus, 4, minus, 5, x, plus, 7, y 4−5−2x−4y+4−5x+7y

Solution

To combine like terms in the expression:

452x4y+45x+7y4 - 5 - 2x - 4y + 4 - 5x + 7y

  1. Combine the constant terms: 45+4=34 - 5 + 4 = 3.
  2. Combine the xx-terms: 2x5x=7x-2x - 5x = -7x.
  3. Combine the yy-terms: 4y+7y=3y-4y + 7y = 3y.

The simplified expression is:

37x+3y3 - 7x + 3y

Would you like a detailed breakdown or any further clarifications? Here are 5 related questions:

  1. What are like terms, and why do we combine them?
  2. How would you combine terms with exponents?
  3. Can you factor the expression 37x+3y3 - 7x + 3y?
  4. How do you handle combining terms with multiple variables, like x2x^2 and xyxy?
  5. What happens when you have terms with fractions?

Tip: When combining like terms, focus on terms that have the exact same variable and exponent.

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Math Problem Analysis

Mathematical Concepts

Algebra
Like Terms
Simplifying Expressions

Formulas

Combining like terms: ax + bx = (a+b)x
Combining constants: a + b = c

Theorems

Distributive Property
Commutative Property of Addition

Suitable Grade Level

Grades 6-8