How do you simplify (x+i)^2-(x-i)^2(x+i)2−(x−i)2?
1 Answer
Jan 15, 2017
Explanation:
Note that in general:
(a+b)^2 = a^2+2ab+b^2(a+b)2=a2+2ab+b2
(a-b)^2 = a^2-2ab+b^2(a−b)2=a2−2ab+b2
So:
(a+b)^2-(a-b)^2 = 4ab(a+b)2−(a−b)2=4ab
In our example:
(x+i)^2-(x-i)^2 = 4ix(x+i)2−(x−i)2=4ix