question 8
subtract the following polynomials: $(5x^2 - 3x + 2) - (3x^2 + 9x - 11)$

* $2x^2 + 6x - 9$
* $2x^2 - 12x - 9$
* $2x^2 - 12x + 13$
* $8x^2 + 6x - 9$

question 9
subtract the following polynomials: $(x^2 - 4) - (x^2 + 4)$

* $1$
* $-8$
* $0$
* $8$

Question

question 8
subtract the following polynomials: $(5x^2 - 3x + 2) - (3x^2 + 9x - 11)$

* $2x^2 + 6x - 9$
* $2x^2 - 12x - 9$
* $2x^2 - 12x + 13$
* $8x^2 + 6x - 9$

question 9
subtract the following polynomials: $(x^2 - 4) - (x^2 + 4)$

* $1$
* $-8$
* $0$
* $8$

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Polynomial Subtraction" ], "current_concepts": [ "Polynomial Subtraction", "Distributive Property with Negative Sign", "Combining Like Terms" ] } ## Distribute the negative sign for Question 8 $$ (5x^2 - 3x + 2) - (3x^2 + 9x - 11) = 5x^2 - 3x + 2 - 3x^2 - 9x + 11 $$ ## Combine like terms for Question 8 $$ (5x^2 - 3x^2) + (-3x - 9x) + (2 + 11) = 2x^2 - 12x + 13 $$ ## Simplify the expression for Question 9 $$ (x^2 - 4) - (x^2 + 4) = x^2 - 4 - x^2 - 4 = -8 $$ ## Question 8 (A) $2x^2 + 6x - 9$

(B) $2x^2 - 12x - 9$

(C) $2x^2 - 12x + 13$

(D) $8x^2 + 6x - 9$ ## Question 9 (A) 1

(B) -8

(C) 0

(D) 8

{ "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 for Question 8

Combine like terms for Question 8

Simplify the expression for Question 9

Answer:

Question 8

Question 9