# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Oct-Nov | (P1-9709/13) | Q#1

Question Find the coefficient of  in the expansion of . Solution We are required to expand; We can write it in standard form; Expression for the general term in the Binomial expansion of  is: In the given case: Hence; Since we are looking for the coefficient of the term : we can equate; Finally substituting […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Oct-Nov | (P1-9709/12) | Q#1

Question Find the coefficient of in the expansion of . Solution We are required to expand; Expression for the general term in the Binomial expansion of is: In the given case: Hence; Since we are looking for the coefficient of the term : we can equate; Finally substituting  in: Therefore, the coefficient of is 840. […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Feb-Mar | (P1-9709/12) | Q#2

Question      i.       Find the coefficients of  and  in the expansion of .    ii.       Hence find the coefficient of  in the expansion of . Solution i.   Expression for the general term in the Binomial expansion of  is: First we rewrite the expression in the standard form; In the given case: Hence; Since we […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | May-Jun | (P1-9709/13) | Q#2

Question Find the coefficient of   in the expansion of . Solution We are required to find the coefficient of in the expansion of . We are given expression as; Expression for the general term in the Binomial expansion of  is: First rewrite the given expression in standard form. In the given case: Hence; Since […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | May-Jun | (P1-9709/12) | Q#1

Question The coefficient of  in the expansion of is 330. Find the value of  the constant a. Solution We can find the coefficient of in the expansion of given expression by finding  coefficients of in the expansion of individual terms of expression and then adding  them. Let us first find the coefficient of in the […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | May-Jun | (P1-9709/11) | Q#1

Question                     i.       Find the first three terms in the expansion, in ascending powers of , of .                   ii.       Given that the coefficient of  in the expansion of is 12, find the value of the constant a. Solution i.   Expression for the Binomial expansion of  is: First rewrite the given expression in standard […]