Question i. Find the coefficient of in the expansion of . ii. Find the coefficient of in the expansion of . iii. Hence find the coefficient of in the expansion of . Solution i. Expression for the general term in the Binomial expansion of is: In the given case: Hence; Since we are looking for the term of : […]
Question i. Find the first three terms in the expansion of in ascending powers of . ii. In the expansion of , the coefficient of is zero, find the value of . Solution i. Expression for the Binomial expansion of is: In the given case: Hence; ii. To find the value of in the expansion of First we know from (i) […]
Question i. Find the first three terms in the expansion of in ascending powers of . ii. Given that coefficient of in the expansion of is 240, find the possible values of . Solution i. Expression for the Binomial expansion of is: In the given case: Hence; ii. To find the value of in the expansion of First we know […]
Question Find the coefficient of in the expansion of i. ii. Solution i. First rewrite the given expression 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 in: Therefore the […]
Question i. In the expression , is non-zero constant. Find the first 3 terms in the expansion of , in ascending powers of . ii. It is given that the coefficient of in the expansion of is zero. Find the value of . Solution i. First rewrite the given expression in standard form. Expression for the Binomial […]