what is the product?

$(-3s+2t)(4s-t)$

$\bigcirc$ $-12s^2-2t^2$
$\bigcirc$ $-12s^2+2t^2$
$\bigcirc$ $-12s^2+8st-2t^2$
$\bigcirc$ $-12s^2+11st-2t^2$

Question

what is the product?

$(-3s+2t)(4s-t)$

$\bigcirc$ $-12s^2-2t^2$
$\bigcirc$ $-12s^2+2t^2$
$\bigcirc$ $-12s^2+8st-2t^2$
$\bigcirc$ $-12s^2+11st-2t^2$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Multiplication", "Distributive Property", "Like Terms" ], "new_concepts": [], "current_concepts": [ "Polynomial Multiplication", "Distributive Property", "Like Terms", "Multivariable Polynomials" ] } ## Apply the distributive property $$ (-3s + 2t)(4s - t) = -3s(4s - t) + 2t(4s - t) $$ ## Expand individual terms $$ -3s(4s - t) + 2t(4s - t) = -12s^2 + 3st + 8st - 2t^2 $$ ## Combine like terms $$ -12s^2 + (3st + 8st) - 2t^2 = -12s^2 + 11st - 2t^2 $$

(A) $-12s^2 - 2t^2$

(B) $-12s^2 + 2t^2$

(C) $-12s^2 + 8st - 2t^2$

(D) $-12s^2 + 11st - 2t^2$

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

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QUESTION IMAGE

Question

Explanation:

Apply the distributive property

Expand individual terms

Combine like terms

Answer: