drag each tile to the table to multiply each row heading by each column heading.

multiply: $(5t - 4)(4t + 5)$
what is the product?

$20t^2 + 9t - 20$
$20t^2 + 18t - 19$
$20t^2 + 25t - 36$
$20t^2 + 41t - 20$

Question

drag each tile to the table to multiply each row heading by each column heading.

multiply: $(5t - 4)(4t + 5)$
what is the product?

$20t^2 + 9t - 20$
$20t^2 + 18t - 19$
$20t^2 + 25t - 36$
$20t^2 + 41t - 20$

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", "Area Model Multiplication" ], "new_concepts": [], "current_concepts": [ "Polynomial Multiplication", "Area Model Multiplication", "Polynomial Addition" ] } ## Set up the area model terms $$ \text{Terms: } (5t - 4) \text{ and } (4t + 5) $$ ## Multiply row and column headings $$ \begin{aligned} (4t) \cdot (5t) &= 20t^2 \ (4t) \cdot (-4) &= -16t \ (5) \cdot (5t) &= 25t \ (5) \cdot (-4) &= -20 \end{aligned} $$ ## Combine like terms $$ \begin{aligned} \text{Product} &= 20t^2 - 16t + 25t - 20 \ &= 20t^2 + 9t - 20 \end{aligned} $$

(A) $20t^2 + 9t - 20$

(B) $20t^2 + 18t - 19$

(C) $20t^2 + 25t - 36$

(D) $20t^2 + 41t - 20$

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

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QUESTION IMAGE

Question

Explanation:

Set up the area model terms

Multiply row and column headings

Combine like terms

Answer: