Factorize completely: \(x^2 – (y + z)^2\)
- (x - y - z)(x - y - z)
-
(x + y + z)(x - y - z)
- (x + y + z)(x + y - z)
- (x + y - z)(x - y + z)
The correct answer is: B
Explanation
\(x^2 - (y + z)^2\)
Using difference of two squares (\(a^2 - b^2 = (a + b)(a - b)|)
⇒ (x + (y + z))(x - (y + z))
⇒ (x + y + z)(x - y - z)