SOLUTION: Expand 1/(2+x)^3 in ascending powers of x, up to and including the term in x^2. simplifying the coefficients

Algebra ->  Test -> SOLUTION: Expand 1/(2+x)^3 in ascending powers of x, up to and including the term in x^2. simplifying the coefficients      Log On


   

Question 1205609: Expand 1/(2+x)^3 in ascending powers of x, up to and including the term in x^2. simplifying the coefficients
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%282%2Bx%29%5E3%22%22=%22%22%282%2Bx%29%5E%28-3%29%22%22=%22%22
1%2F%282%2Bx%29%5E3%22%22=%22%22%282%282%2F2%2Bx%2F2%29%29%5E%28-3%29%22%22=%22%22
1%2F%282%2Bx%29%5E3%22%22=%22%22%282%281%2Bx%2F2%29%29%5E%28-3%29%22%22=%22%22
1%2F%282%2Bx%29%5E3%22%22=%22%222%5E%28-3%29%281%2Bx%2F2%29%5E%28-3%29%22%22=%22%22
1%2F%282%2Bx%29%5E3%22%22=%22%22expr%281%2F8%29%281%2Bx%2F2%29%5E%28-3%29%22%22=%22%22
You finish. Substitute n = -3, u = x%2F2 into
%281%2Bu%29%5En%22%22=%22%22 and simplify.
Leave the 1/8 factored out of the whole thing.
Edwin