Question

Show that (a+b)² - (a-b)² - 4ab =0

Please answer fast​

Answer 1

Answer:

Step-by-step explanation:

a^2+b^2+2ab-a^2-b^2+2ab-4ab

so all terms will cancel out to give 0

Answer 2

Step-by-step explanation:

It's 4ab.

(a+b)2=a2+b2+2ab

(a−b)2=a2+b2−2ab

For simplicity, let:

a2+b2=x

2ab=y

That gives us (a+b)2=x+y and (a−b)2=x−y. So:

(a+b)2−(a−b)2=x+y−x−y

⟹(x−x)+(y−(−y))

⟹0+y+y=2y⟹4ab