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Rewrite 5 and 15 as binomials, and multiply the binomials, using a diagram.
Step 1:
and , so
Step 2:
| 10 | -5 | |
| 10 | ||
| 5 |
Step 3:
| 10 | -5 | |
| 10 | 100 | -50 |
| 5 | 50 | -25 |
Step 4:
Here is a method for multiplying 97 and 103:
97 is
103 is
So
| 100 | -3 | |
| 100 | 10,000 | -300 |
| 3 | 300 | -9 |
Complete each diagram. Write some equivalent expressions based on the diagram.
| 7 | ||
| 10 | ||
| -7 | -70 |
| 8 | ||
| -8 |
| -9 | ||
| 9 |
| 7 | ||
| 7 | 49 |