multiplying a binomial by a binomial using a table

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

tiles:
$20t^2$, $-16t$, $-20$, $25t$

table:
| | $5t$ | $-4$ |
|---|---|---|
| $4t$ | | |
| $5$ | | |

Question

multiplying a binomial by a binomial using a table

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

tiles:
$20t^2$, $-16t$, $-20$, $25t$

table:
| | $5t$ | $-4$ |
|---|---|---|
| $4t$ | | |
| $5$ | | |

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Multiplication" ], "new_concepts": [ "Area Model Multiplication" ], "current_concepts": [ "Polynomial Multiplication", "Area Model Multiplication" ] } ## Multiply first row by first column $$ 4t \times 5t = 20t^2 $$ ## Multiply first row by second column $$ 4t \times (-4) = -16t $$ ## Multiply second row by first column $$ 5 \times 5t = 25t $$ ## Multiply second row by second column $$ 5 \times (-4) = -20 $$ | | $5t$ | $-4$ | |---|---|---| | **$4t$** | $20t^2$ | $-16t$ | | **$5$** | $25t$ | $-20$ | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Multiplication" ] }

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QUESTION IMAGE

Question

Explanation:

Multiply first row by first column

Multiply first row by second column

Multiply second row by first column

Multiply second row by second column

Answer: