simplifica cada expresión.
$(-b^4 + 6b^3 + 6) - (-6b^4 + 8b^3 + 2)$

* $4b^4 - 2b^3 + 7$
* $5b^4 - 2b^3 + 4$
* $b^4 - 2b^3 + 7$
* $5b^4 - 2b^3 + 7$

Question

simplifica cada expresión.
$(-b^4 + 6b^3 + 6) - (-6b^4 + 8b^3 + 2)$

* $4b^4 - 2b^3 + 7$
* $5b^4 - 2b^3 + 4$
* $b^4 - 2b^3 + 7$
* $5b^4 - 2b^3 + 7$

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", "Algebraic Terms" ] } ## Distribuir el signo negativo $$ (-b^4 + 6b^3 + 6) - (-6b^4 + 8b^3 + 2) = -b^4 + 6b^3 + 6 + 6b^4 - 8b^3 - 2 $$ ## Agrupar y simplificar términos semejantes $$ \begin{aligned} (-b^4 + 6b^4) + (6b^3 - 8b^3) + (6 - 2) &= 5b^4 - 2b^3 + 4 \end{aligned} $$

(A) $4b^4 - 2b^3 + 7$

(B) $5b^4 - 2b^3 + 4$

(C) $b^4 - 2b^3 + 7$

(D) $5b^4 - 2b^3 + 7$

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

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QUESTION IMAGE

Question

Explanation:

Distribuir el signo negativo

Agrupar y simplificar términos semejantes

Answer: