SOLUTION: (x-2y)^3

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: (x-2y)^3       Log On


   

Question 600633: (x-2y)^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-2y%29%5E3

%28x-2y%29%28x-2y%29%28x-2y%29

%28x-2y%29%28x%5E2-2xy-2xy%2B4y%5E2%29

%28x-2y%29%28x%5E2-4xy%2B4y%5E2%29

x%28x%5E2-4xy%2B4y%5E2%29-2y%28x%5E2-4xy%2B4y%5E2%29

x%5E3-4x%5E2y%2B4xy%5E2-2x%5E2y%2B8xy%5E2-8y%5E3

x%5E3-6x%5E2y%2B12xy%5E2-8y%5E3

So %28x-2y%29%5E3 expands and simplifies to x%5E3-6x%5E2y%2B12xy%5E2-8y%5E3

In other words, %28x-2y%29%5E3=x%5E3-6x%5E2y%2B12xy%5E2-8y%5E3 for all values of x and y.