Question The coefficient of in the expansion of , is 30. Find the value of . Solution Expression for the Binomial expansion of is: In the given case: Hence; Since the coefficient of in the expansion of , is 30:
Question i. Find the first 3 terms in the expansion of , in ascending powers of . ii. Use the result in part (i) to 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. We can […]
Question Find the term independent of in the expansion of . Solution Expression for the Binomial expansion of is: In the given case: Hence; The term independent of in the expansion of is .
Question The coefficient of in the expansion of , where is positive, is 90. Find the value of . Solution Expression for the Binomial expansion of is: We need to expand both terms one-by-one. First we expand In the given case: Hence; Similarly we also need to expand First rewrite the given expression in standard form. In the given case: Hence; […]
Question i. Find the terms in and in the expansion of . ii. Given that there is no term in in the expansion of , find the value of the constant . Solution i. First rewrite the given expression in standard form. Expression for the Binomial expansion of is: In the given case: Hence; Hence the required terms in […]
Question Find the coefficient of in the expansion of . Solution Expression for the Binomial expansion of is: In the given case: Hence; The coefficient of is .