Factorize completely: \(x^2 - (y + z)^2\)
MATHEMATICS
WAEC 2023
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)
Correct Answer: B. (x + y + z)(x - y - z)
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)
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