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Question
Complete the table of products.
|
First monomial→ |
2x |
–5y |
3x2 |
–4xy |
7x2y |
–9x2y2 |
|
Second monomial ↓ |
||||||
| 2x | 4x2 | ... | ... | ... | ... | ... |
| –5y | ... | ... | –15x2y | ... | ... | ... |
| 3x2 | ... | ... | ... | ... | ... | ... |
| – 4xy | ... | ... | ... | ... | ... | ... |
| 7x2y | ... | ... | ... | ... | ... | ... |
| –9x2y2 | ... | ... | ... | ... | ... | ... |
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Solution
|
First monomial→ |
2x | –5y | 3x2 | –4xy | 7x2y | –9x2y2 |
|
Second monomial ↓ |
||||||
| 2x | 4x2 | –10xy | 6x3 | –8x2y | 14x3y | –18x3y2 |
| –5y | –10xy | 25 y2 | –15x2y | 20xy2 | –35x2y2 | 45x2y3 |
| 3x2 | 6x3 | –15x2y | 9x4 | –12x3y | 21x4y | –27x4y2 |
| – 4xy | –8x2y | 20xy2 | –12x3y | 16x2y2 | –28x3y2 | 36x3y3 |
| 7x2y | 14x3y | –35x2y2 | 21x4y | –28x3y2 | 49x4y2 | –63x4y3 |
| –9x2y2 | –18x3y2 | 45 x2y3 | –27x4y2 | 36x3y3 | –63x4y3 | 81x4y4 |
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