In analyzing underground pressure, the expression is simplified from (a² - b²)² - (2ab)². What's the final expression?
Show answer & explanation
Correct answer: C
Explanation
Has been given :
(a² − b²)² − (2ab)²
According to the formula:
(a − b)² = a² − 2ab + b²
(a + b)² = a² + 2ab + b²
(a² − b²)²= a⁴ − 2a²b² + b⁴
(2ab)²= 4a²b²
Now,
(a² − b²)² − (2ab)²
= (a⁴ − 2a²b² + b⁴) − 4a²b²
= a⁴ − 6a²b² + b⁴