Write the sum , in the form , where p and q are polynomials with integer coefficients.
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Originally Posted by fardeen_gen Write the sum , in the form , where p and q are polynomials with integer coefficients. A bit of experimentation with n=1,2,3 suggests that the answer should be . Also note that . So . With that motivation, start from the identity , divide both sides by , differentiate, and put . The result simplifies to , as expected.
Your answer is the simplest form I guess. Is this the same?:
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