select the correct answer.

what is the simplified form of this expression?

$(3x^2 + 5x - 8) + (5x^2 - 13x - 5)$

$8x^2 - 8x + 13$
$8x^2 - 8x - 13$
$8x^2 - x - 13$
$8x^2 + 8x - 13$

Question

select the correct answer.

what is the simplified form of this expression?

$(3x^2 + 5x - 8) + (5x^2 - 13x - 5)$

$8x^2 - 8x + 13$
$8x^2 - 8x - 13$
$8x^2 - x - 13$
$8x^2 + 8x - 13$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Combining Like Terms", "Polynomial Simplification" ], "new_concepts": [], "current_concepts": [ "Combining Like Terms", "Polynomial Simplification", "Polynomial Operations" ] } ## Group the like terms $$ (3x^2 + 5x - 8) + (5x^2 - 13x - 5) = (3x^2 + 5x^2) + (5x - 13x) + (-8 - 5) $$ ## Combine the coefficients $$ \begin{aligned} (3 + 5)x^2 &= 8x^2 \ (5 - 13)x &= -8x \ -8 - 5 &= -13 \end{aligned} $$ ## Write the simplified expression $$ 8x^2 - 8x - 13 $$

(A) $8x^2 - 8x + 13$

(B) $8x^2 - 8x - 13$

(C) $8x^2 - x - 13$

(D) $8x^2 + 8x - 13$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Group the like terms

Combine the coefficients

Write the simplified expression

Answer: