what is the difference of the two polynomials?

$(7y^2 + 6xy) - (-2xy + 3)$

* $7y^2 + 4xy - 3$
* $7y^2 + 4xy + 3$
* $7y^2 + 8xy - 3$
* $7y^2 + 8xy + 3$

Question

what is the difference of the two polynomials?

$(7y^2 + 6xy) - (-2xy + 3)$

* $7y^2 + 4xy - 3$
* $7y^2 + 4xy + 3$
* $7y^2 + 8xy - 3$
* $7y^2 + 8xy + 3$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Polynomial Subtraction", "Distributive Property", "Combining Like Terms" ], "new_concepts": [], "current_concepts": [ "Polynomial Subtraction", "Distributive Property", "Combining Like Terms" ] } ## Distribute the negative sign Using the *Distributive Property* and *Polynomial Subtraction* knowledge points $$ -( -2xy + 3 ) = 2xy - 3 $$ ## Rewrite the expression Using the *Polynomial Subtraction* knowledge point $$ (7y^2 + 6xy) - (-2xy + 3) = 7y^2 + 6xy + 2xy - 3 $$ ## Combine like terms Using the *Combining Like Terms* knowledge point $$ \begin{aligned} &7y^2 + (6xy + 2xy) - 3\ &= 7y^2 + 8xy - 3 \end{aligned} $$

(A) $7y^2 + 4xy - 3$

(B) $7y^2 + 4xy + 3$

(C) $7y^2 + 8xy - 3$

(D) $7y^2 + 8xy + 3$

{ "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

Rewrite the expression

Combine like terms

Answer: