Factorize completely: \(x^2 - (y + z)^2\)
A
(x - y - z)(x - y - z)
B
(x + y + z)(x - y - z)
C
(x + y + z)(x + y - z)
D
(x + y - z)(x - y + z)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(x^2 - (y + z)^2\)
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)
Source: WAEC / JAMB / NECO Classroom Archive (Record #69155)