Question

If you know that a2+b2=0, then what is a2-b2? The answer is obviously 0, but how? I need a clear explanation. Our teacher said that “a2=-b2” and stopped there.

Answer 1

Answer:I hope this helps ;)

Explanation:

If a^2 + b^2 = 0, then we can rewrite this equation as follows:

(a+b)(a-b) = 0

This tells us that either (a+b) or (a-b) must be equal to 0. If we set (a+b) = 0, then we have:

a = -b

If we set (a-b) = 0, then we have:

a = b

In either case, a^2 - b^2 can be rewritten as:

(a+b)(a-b) = (a+(-b))(a-(-b)) = (-b+a)(a+b) = 0

Therefore, a^2 - b^2 = 0.

I hope this helps clarify the explanation for you. Let me know if you have any further questions.