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

Jasonbradley

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Jun 17, 2024

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Simplifying the Expression (x²y - 3y² + 5xy²) - (-x²y + 3xy² - 3y²)

This expression involves combining like terms within parentheses. Let's break down the steps:

1. Distribute the negative sign:

Remember that subtracting a quantity is the same as adding its negative. Therefore, we can rewrite the expression as:

(x²y - 3y² + 5xy²) + (x²y - 3xy² + 3y²)

2. Combine like terms:

Identify terms with the same variables and exponents. For instance, x²y and x²y are like terms.

• x²y terms: x²y + x²y = 2x²y
• xy² terms: 5xy² - 3xy² = 2xy²
• y² terms: -3y² + 3y² = 0

3. Simplify the expression:

Combining the simplified terms, the final simplified expression is:

2x²y + 2xy²

Therefore, the simplified form of (x²y - 3y² + 5xy²) - (-x²y + 3xy² - 3y²) is 2x²y + 2xy².