SOLUTION: show that (x+2)squared(x-2)squared is equal to x to the fourth-8x squared + 16?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: show that (x+2)squared(x-2)squared is equal to x to the fourth-8x squared + 16?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 255261: show that (x+2)squared(x-2)squared is equal to x to the fourth-8x squared + 16?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B2%29%5E2%2A%28x-2%29%5E2
this is the same as
%28%28x%2B2%29%28x-2%29%29%5E2
now (x+2)(x-2) = x^2-4, so we get
%28x%5E2-4%29%5E2
squaring this gets us
x%5E4+-+8x%5E2+%2B16