Question

Plz help. An answer and an explanation would be Great! Thanks


Find the 5th terms of (y - 4)8.


-17,920y4

17,020y4

17,920y4

-17,020y4

Answer 1

\[\left( y-4 \right)^8\]
\[T _{r+1}=C _{r}^{8}*y ^{8-r}\left( -4 \right)^r\]
put r+1=5,r=5-1=4
\[C_{4}^{8}=\frac{ 8*7*6*5 }{ 4*3*2*1 }=?\]

Answer 2

The question mark equals 151.6666667, but that is not listed as an answer. Is there another step?

Answer 3

\[T _{5}=C _{4}^{8}y ^{8-4}\left( -1 \right)^4*4^4\]
\[=70 y^4*256=?\]

Answer 4

I really have no clue what to do. Can you explain a bit and give the answer so I can work backwards? Thanks

Answer 5

\[=17920 y^4 \]

Answer 6

\[70 y^4 *256=17920 y^4 \]
i have used binomial theorem for any positive integral index.