Question

What is the second term of (s+v)^5
a)25s^4
b)25s^4v
c)5s^4v
d)125s^4v

Answer 1

By pascal triangle this second term should be
5s^4v

Answer 2

ANSWER


`T_2 = 5s^(4)v`



Step-by-step explanation


We can use the binomial theorem for a specified term to find the second term.



This is given by,


`T_(r+1)=^nC_ra^(n-r)b^r`

For the second term,


`r + 1 = 2`


This implies that,



`r = 1`
By comparing



`(s+v)^5`

to


`(a+b)^n`


`a = s`

`b = v`

and


`n = 5`

We substitute all these into the formula to get,



`T_2=^5C_1s^(5-1)v^1`


`T_2=^5C_1s^(4)v`




`T_2 = 5s^(4)v`


The correct answer is C