1985 AJHSME Problems/Problem 9
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 write rearrange the factors in the denominator to get
Everything except for the first term is , so the product is