1985 AJHSME Problems/Problem 9
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Problem
The product of the 9 factors
Solution
First doing the subtraction, we get
We notice a lot of terms cancel. In fact, every term in the numerator except for the and every term in the denominator except for the will cancel, so the answer is , or
If you don't believe this, then rearrange the factors in the denominator to get
Everything except for the first term is , so the product is
See Also
1985 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
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All AJHSME/AMC 8 Problems and Solutions |