Question

I really don't understand Pascal's Triangle :/

Use Pascal’s Triangle to expand the binomial.

(8v + s)5

a.) s5 + 320s4v + 5,120s3v2 + 40,960s2v3 + 16,380sv4 + 26,2144v5
b.) s5 – 5s4v + 10s3v2 – 10s2v3 + 5sv4 – v5
c.) s5 + 40s4 + 640s3 +5,120s2 + 20,480s +32,768
d.) s5 + 40s4v + 640s3v2 + 5,120sv3 + 20,480sv4 + 32,768v5

Answer 1

http://ptri1.tripod.com/

Answer 2

pascals triangle is a pattern recognition

the row underneath is the sum of the 2 terms above it

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1

Answer 3

ohhh i see but how would i use that to expand the binomial?

Answer 4

i tend to do this by lining up rows into columns:

pascals row
exponents of first; big to 0
exponents of last; 0 to big

Answer 5

the ^5 exponent means we use the row that starts 1 5 10 ....

Answer 6

and since all the answers start with an s; lets swap the terms in the paranthesises

(s + 8v )5

1 5 10 10 5 1
s^5 s^4 s^3 s^2 s^1 s^0
(8v)^0 (8v)^1 (8v)^2 (8v)^3 (8v)^4 (8v)^5
---------------------------------------
multiply the columns down and add up the results

Answer 7

notice that this ends in a large postive v^5; so b and c are out of the picture

Answer 8

determine what 8^5 is and you should be able to narrow it down to the correct option

Answer 9

i got it! Thanks a ton :D

Answer 10

youre welcome, and good luck