Simplify the following expression.
( g - h )2 - ( g + h )2 + 4gh
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 0.
(g - h)2 - (g + h)2 + 4gh
= (g2 - 2gh + h2) - (g2 + 2gh + h2) + 4gh [∵ (a + b)2 = (a2 + 2ab + b2) and (a - b)2 = (a2 - 2ab + b2)]
= g2 - 2gh + h2 - g2 - 2gh - h2 + 4gh
= - 4gh + 4gh
= 0
Therefore, the value of the given expression is 0.