SOLUTION: Write down the binomial expansion of (2+x)⁴ ? Could I be shown this step by step please Thank you

Algebra ->  Finance -> SOLUTION: Write down the binomial expansion of (2+x)⁴ ? Could I be shown this step by step please Thank you       Log On


   

Question 1029685: Write down the binomial expansion of (2+x)⁴ ?
Could I be shown this step by step please Thank you
Found 2 solutions by Fombitz, fractalier:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Using Pascal's triangle for the coefficients (1 4 6 4 1),

I leave it to you to simplify

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
We use the Pascal's Triangle to determine coefficients for n = 4...
1
11
121
1331
14641
There they are. Now realize that for (2+x)^4, powers of 2 decrease as powers of x increase, so that

%282+%2B+x%29%5E4+=+16+%2B+32x+%2B+24x%5E2+%2B+8x%5E3+%2B+x%5E4