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Problem of the Week 11

A Nice Fun Factorization: Ok. I lied. Billy Bob has nothing to do with this problem. In fact, Billy Bob isn't even a real person. Neither is Santa Claus. But you are a real person, and your task is to completely factor the polynomial $$2\lambda^7-128\lambda \mu^6.$$ Special Note: Show all calculations, especially the steps in factorization that you'll need to perform in order to get the final answer. Your calculations need to include at least four lines, the first of which being the problem itself, the last of which being the final answer. Make a column with calculations on the left and a brief description of each step on the right (sort of like POW 4 ).