Question

which expression is equivalent to this polynomial expression? (8x^2y^2-9x^2y+9y) -(6x^2y-xy^2+4y) A.-7x^2+xy^2+5y B.8x^2y^2-3x^2y-xy^2+13y C.-7x^2y^2-xy^2+13y D 8x^2y^2-15x^2y+x^2+5y​

Answer 1

D. 8x²y² - 15x²y + xy² + 5y

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Combining Like Terms

Explanation:

Step 1: Define Expression

(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)

Step 2: Simplify

1. Distribute negative: 8x²y² - 9x²y + 9y - 6x²y + xy² - 4y
2. Combine like terms (x²y): 8x²y² - 15x²y + 9y + xy² - 4y
3. Combine like terms (y): 8x²y² - 15x²y + xy² + 5y