Simplify the following expression: (g - h)² - (g + h)² + 4gh.

Question

Accepted Answer

Let's expand each term in the expression:

1. (g - h)² = g² - 2gh + h²
2. (g + h)² = g² + 2gh + h²

Now substitute these into the original expression:

(g - h)² - (g + h)² + 4gh
= [g² - 2gh + h²] - [g² + 2gh + h²] + 4gh

Expand the subtraction:
= g² - 2gh + h² - g² - 2gh - h² + 4gh

Combine like terms:
g² - g² = 0
h² - h² = 0
-2gh - 2gh + 4gh = (-4gh) + 4gh = 0

So, the entire expression simplifies to 0.

Final Answer: 0

Answer

Answer

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