When we expand a binomial, I understand how the coefficient of will be , but not why the terms group together as they do in the form . Why is this the case and not for example?
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Originally Posted by Greengoblin When we expand a binomial, I understand how the coefficient of will be , but not why the terms group together as they do in the form . Why is this the case and not for example? Try expanding using concrete value of n like n = 2, n = 3, n = 4. Then you should see that the sum of the powers has to add up to n.
Thanks I've tried expanding for n=2,3,4, using the formula, and doing algebraically, and got the expected expressions in both cases, but still can't see why the powers of x and y in each term must add to n.
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