Binomial Theorem/Expansion (CIE-2006) Archives — O/A Level Solutions

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2006 | Oct-Nov | (P1-9709/01) | Q#1

Question Find the coefficient of  in the expansion of Solution Expression for the general term in the Binomial expansion of  is: In the given case: Hence; Since we are looking for the term with , we can  equate Finally substituting  in: Therefore the coefficient of  is .

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2006 | May-Jun | (P1-9709/01) | Q#4

Question The first three terms in the expansion of , in ascending powers of , are . Find the values of the constants . Solution Expression for the Binomial expansion of  is: In the given case: Hence; We are given the first three terms of the expansion: Comparing 1st terms of both above equations: Comparing 2nd terms of both above […]