select the correct answer.

what is the simplified form of this expression?

$(3 - 13x - 7x^2) - (5x^2 + 12x - 10)$

$-12x^2 - 25x + 13$
$3x^2 - 25x - 2$
$-12x^2 - x - 7$
$-12x^2 - 25x - 7$

Question

select the correct answer.

what is the simplified form of this expression?

$(3 - 13x - 7x^2) - (5x^2 + 12x - 10)$

$-12x^2 - 25x + 13$
$3x^2 - 25x - 2$
$-12x^2 - x - 7$
$-12x^2 - 25x - 7$

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", "Combining Like Terms", "Polynomial Simplification" ], "new_concepts": [], "current_concepts": [ "Polynomial Subtraction", "Combining Like Terms", "Polynomial Simplification" ] } ## Distribute the negative sign $$ (3 - 13x - 7x^2) - (5x^2 + 12x - 10) = 3 - 13x - 7x^2 - 5x^2 - 12x + 10 $$ ## Group and combine like terms $$ \begin{aligned} &= (-7x^2 - 5x^2) + (-13x - 12x) + (3 + 10) \ &= -12x^2 - 25x + 13 \end{aligned} $$

(A) $-12x^2 - 25x + 13$

(B) $3x^2 - 25x - 2$

(C) $-12x^2 - x - 7$

(D) $-12x^2 - 25x - 7$

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

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QUESTION IMAGE

Question

Explanation:

Distribute the negative sign

Group and combine like terms

Answer: