SOLUTION: pascal's triangle can be used as a shortcut to expand any binomial (a+b)^n n= 0 1 2 3 4... 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 explain how this triang

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: pascal's triangle can be used as a shortcut to expand any binomial (a+b)^n n= 0 1 2 3 4... 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 explain how this triang      Log On


   

Question 382748: pascal's triangle can be used as a shortcut to expand any binomial (a+b)^n
n= 0 1 2 3 4...

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
explain how this triangle works and expand. (2x+1)^6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Do two more rows
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
So then you have the coefficients, then get the terms,
1%282x%29%5E6%281%29%5E%280%29=64x%5E6
6%282x%29%5E5%281%29%5E%281%29=192x%5E5
15%282x%29%5E4%281%29%5E%282%29=240x%5E4
20%282x%29%5E3%281%29%5E%283%29=160x%5E3
15%282x%29%5E2%281%29%5E%284%29=60x%5E2
6%282x%29%5E1%281%29%5E%285%29=12x
1%282x%29%5E0%281%29%5E%286%29=1
.
.
%282x%2B1%29%5E6+=64x%5E6%2B192x%5E5%2B240x%5E4%2B160x%5E3%2B60x%5E2%2B12x%2B1%0D%0A