(9x^2y^3-15x^4y^4) 3x^2y-(2-3x^2y)y^2

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (9x^2y^3-15x^4y^4) 3x^2y-(2-3x^2y)y^2

This expression involves multiple terms with exponents and variables. To simplify it, we'll use the distributive property and then combine like terms.

Step 1: Distribute

First, distribute the 3x^2y into the first set of parentheses:

(9x^2y^3 - 15x^4y^4) * 3x^2y = 27x^4y^4 - 45x^6y^5

Then, distribute the y^2 into the second set of parentheses:

(2 - 3x^2y) * y^2 = 2y^2 - 3x^2y^3

Step 2: Combine Like Terms

Now we have the expression:

27x^4y^4 - 45x^6y^5 + 2y^2 - 3x^2y^3

There are no other like terms to combine.

Final Simplified Expression

The simplified expression is: 27x^4y^4 - 45x^6y^5 + 2y^2 - 3x^2y^3

Important Note: This expression cannot be further simplified as the terms have different combinations of variables and exponents.