question 15

to improve your productivity, simplify the following expression using distributive property.

$(x-2)(x-8)$

- $x^2 + 10x - 16$
- $x^2 - 10x + 16$
- $2x - 10x + 16$
- $2x - 16x - 10$

Question

question 15

to improve your productivity, simplify the following expression using distributive property.

$(x-2)(x-8)$

- $x^2 + 10x - 16$
- $x^2 - 10x + 16$
- $2x - 10x + 16$
- $2x - 16x - 10$

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": [ "FOIL Method", "Binomial Multiplication" ], "current_concepts": [ "Combining Like Terms", "Polynomial Simplification", "FOIL Method", "Binomial Multiplication" ] } ## Apply the distributive property $$ (x-2)(x-8) = x(x-8) - 2(x-8) $$ ## Expand the terms $$ x(x-8) - 2(x-8) = x^2 - 8x - 2x + 16 $$ ## Combine like terms $$ x^2 - 10x + 16 $$

(A) $x^2 + 10x - 16$

(B) $x^2 - 10x + 16$

(C) $2x - 10x + 16$

(D) $2x - 16 - 10$

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

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QUESTION IMAGE

Question

Explanation:

Apply the distributive property

Expand the terms

Combine like terms

Answer: