Question Find the term, independent of , in the expansion of . Solution First rewrite the given expression in standard form. Expression for the Binomial expansion of is: In the given case: Hence; The term independent of i.e coefficient of ;
Question i. Find the first three terms in the expansion, in ascending powers of . ii. Find the coefficient in the expansion of . Solution i. Expression for the Binomial expansion of is: First rewrite the given expression in standard form. In the given case: Hence; ii. To find the coefficient of in the expansion of […]
Question In the expansion of , where is constant, the coefficient of is . Find the coefficient of . Solution Expression for the Binomial expansion of is: In the given case: Hence; We know that coefficient of is . i.e. The coefficient of is ;
Question i. Find the first 3 terms, in descending powers of , in the expansion of . ii. Find the coefficient of in in the expansion of . Solution i. First rewrite the given expression in standard form. Expression for the Binomial expansion of is: In the given case: Hence; ii. To find the coefficient […]
Question i. Find the first 3 terms in the expansion of in ascending powers of . ii. Given that there is no term in in the expansion of , find the value of the constant . iii. For this value of , find the coefficient of in the expansion of . Solution i. Expression for […]
Question i. Find the first 3 terms in the expansion of in descending powers of . ii. Hence find the coefficient of in the expansion of . Solution i. First rewrite the given expression in standard form. Expression for the Binomial expansion of is: In the given case: Hence; ii. To find the value of in the expansion of […]