How do you factor (x^2-1)^2-(x-1)^2(x2−1)2−(x−1)2?
1 Answer
Aug 29, 2016
Explanation:
Note that
So we find:
(x^2-1)^2-(x-1)^2(x2−1)2−(x−1)2
=(x-1)^2(x+1)^2-(x-1)^2=(x−1)2(x+1)2−(x−1)2
=(x-1)^2((x+1)^2-1)=(x−1)2((x+1)2−1)
=(x-1)^2(x^2+2x+color(red)(cancel(color(black)(1)))-color(red)(cancel(color(black)(1))))
=(x-1)^2x(x+2)
graph{(x^2-1)^2-(x-1)^2 [-10, 10, -5.5, 4.5]}
