How do you simplify (x+i)^2-(x-i)^2(x+i)2(xi)2?

1 Answer
Jan 15, 2017

(x+i)^2-(x-i)^2 = 4ix(x+i)2(xi)2=4ix

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(ab)2=a22ab+b2

So:

(a+b)^2-(a-b)^2 = 4ab(a+b)2(ab)2=4ab

In our example:

(x+i)^2-(x-i)^2 = 4ix(x+i)2(xi)2=4ix