(7x^2y^2-6x^3+xy)-(5x^2y^2-x^3+xy+x)

2 min read Jun 16, 2024
(7x^2y^2-6x^3+xy)-(5x^2y^2-x^3+xy+x)

Simplifying Algebraic Expressions: A Step-by-Step Guide

This article will guide you through the process of simplifying the algebraic expression:

(7x²y² - 6x³ + xy) - (5x²y² - x³ + xy + x)

Let's break down the steps involved in simplifying this expression:

1. Distributing the Negative Sign

The first step is to distribute the negative sign in front of the second set of parentheses. Remember that multiplying a negative sign by each term inside the parentheses changes the sign of each term:

(7x²y² - 6x³ + xy) + (-5x²y² + x³ - xy - x)

2. Combining Like Terms

Now, we can combine like terms. Like terms have the same variables raised to the same exponents.

  • x²y² terms: 7x²y² - 5x²y² = 2x²y²
  • x³ terms: -6x³ + x³ = -5x³
  • xy terms: xy - xy = 0
  • x terms: -x

3. The Simplified Expression

After combining like terms, the simplified expression is:

2x²y² - 5x³ - x

Therefore, the simplified form of the expression (7x²y² - 6x³ + xy) - (5x²y² - x³ + xy + x) is 2x²y² - 5x³ - x.

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