SOLUTION: Use the first two terms of the binomial expansion of (1+x)⁴ to find an approximate value of (1+0.002)⁴? Could I be shown this step by step please Thank You

Algebra ->  Equations -> SOLUTION: Use the first two terms of the binomial expansion of (1+x)⁴ to find an approximate value of (1+0.002)⁴? Could I be shown this step by step please Thank You       Log On


   

Question 1030110: Use the first two terms of the binomial expansion of (1+x)⁴ to find an approximate value of (1+0.002)⁴?
Could I be shown this step by step please Thank You
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the first two terms of the binomial expansion of (1+x)⁴ to find an approximate value of (1+0.002)⁴?
-------
Coefficients of that expansion are 1,4,6,4,1
Powers are:: 0,1,2,3,4
------
1st 2 terms:: 1*0.002^0 + 4*0.002^1 = 1.008
---------------------------
Cheers,
Stan H.
---------------------