Question

can someone help explain how to expand a binomial
use this as an example (y+1)^8

Answer 1

draw Pascal's Triangle

Answer 2

This the formula. Apply it and you are done
\[
(a+b)^n =\sum_{k=0}^n { n \choose k} a^{n-k} b^k
\]

Answer 3

how do i apply

Answer 4

Also you can use the Pascal Triangle
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
etc

Answer 5

wait can u walk me through it

Answer 6

\[
{n \choose k}=\frac {n!}{k! (n-k)!}
\]

Answer 7

ok then what

Answer 8

1




8





28





56





70





56





28





8





1

Answer 9

This is the eight row of the Pascal Triangle

Answer 10

ok