what is the difference of the polynomials?

$(-2x^3y^2 + 4x^2y^3 - 3xy^4) - (6x^4y - 5x^2y^3 - y^5)$

* $-6x^4y - 2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5$
* $-6x^4y - 2x^3y^2 - x^2y^3 - 3xy^4 - y^5$
* $-6x^4y + 3x^3y^2 + 4x^2y^3 - 3xy^4 + y^5$
* $-6x^4y - 7x^3y^2 + 4x^2y^3 - 3xy^4 - y^5$

Question

what is the difference of the polynomials?

$(-2x^3y^2 + 4x^2y^3 - 3xy^4) - (6x^4y - 5x^2y^3 - y^5)$

* $-6x^4y - 2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5$
* $-6x^4y - 2x^3y^2 - x^2y^3 - 3xy^4 - y^5$
* $-6x^4y + 3x^3y^2 + 4x^2y^3 - 3xy^4 + y^5$
* $-6x^4y - 7x^3y^2 + 4x^2y^3 - 3xy^4 - y^5$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Subtraction" ], "new_concepts": [], "current_concepts": [ "Polynomial Subtraction" ] } ## Distribute the negative sign $$ (-2x^3y^2 + 4x^2y^3 - 3xy^4) - (6x^4y - 5x^2y^3 - y^5) = -2x^3y^2 + 4x^2y^3 - 3xy^4 - 6x^4y + 5x^2y^3 + y^5 $$ ## Combine like terms $$ -6x^4y - 2x^3y^2 + (4x^2y^3 + 5x^2y^3) - 3xy^4 + y^5 = -6x^4y - 2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5 $$

(A) $-6x^4y - 2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5$

(B) $-6x^4y - 2x^3y^2 - x^2y^3 - 3xy^4 - y^5$

(C) $-6x^4y + 3x^3y^2 + 4x^2y^3 - 3xy^4 + y^5$

(D) $-6x^4y - 7x^3y^2 + 4x^2y^3 - 3xy^4 - y^5$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Subtraction" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Distribute the negative sign

Combine like terms

Answer: