Final answer:
The correct answer is option C) 6x^3y, but upon reviewing the provided expression -5x^3 + 6x^2 + 5y^2, it is clear that none of the options are equivalent to this expression.
Step-by-step explanation:
To simplify the given expression, we combine like terms. The terms with x² are 6x² and the terms with y² are 3y² + 2y² = 5y². So, the simplified expression is 6x² + 5y² - 5x³. Therefore, option A) x³ + 5² is the equivalent expression.
The correct answer is option C) 6x3y. To simplify the given expression 6x2 + 3y2 - 5x3 + 2y2, we first combine the like terms. The terms with y2 are 3y2 and 2y2, which add up to 5y2. Therefore, the simplified expression is -5x3 + 6x2 + 5y2. This cannot further be simplified, and none of the provided options are equivalent to this simplified expression.
To simplify the given expression 6x2 + 3y2 - 5x3 + 2y2, we first combine the like terms. The terms with y2 are 3y2 and 2y2, which add up to 5y2. Therefore, the simplified expression is -5x3 + 6x2 + 5y2. This cannot further be simplified, and none of the provided options are equivalent to this simplified expression. The terms with x² are 6x² and the terms with y² are 3y² + 2y² = 5y². So, the simplified expression is 6x² + 5y² - 5x³.